The administration's next step would typically involve the following actions:

1. Acknowledging the Issue:
The administration needs to acknowledge the water shortage problem raised by the villagers during the gram sabha. They should understand the severity of the issue and the impact it has on the daily lives of the villagers.

2. Gathering Information:
The administration should gather more information about the water shortage problem in the village. They need to investigate the extent of the issue, including the reasons behind the shortage, the affected areas, and the current water sources available.

3. Evaluating the Proposed Ideas:
The administration should carefully evaluate the 2-3 ideas proposed by the villagers to solve the water shortage problem. They should analyze the feasibility, cost-effectiveness, and sustainability of each idea. The administration may conduct meetings, discussions, or research to make an informed decision.

4. Engaging with Experts:
To make an informed decision, the administration may engage with water management experts, engineers, or other professionals who have expertise in solving water scarcity issues. These experts can provide valuable insights and suggestions on the best approaches to address the problem.

5. Developing a Plan:
Once the ideas have been evaluated and expert opinions have been sought, the administration needs to develop a comprehensive plan to solve the water shortage problem. The plan should include specific actions, timelines, and allocated resources for each proposed solution. It should also consider any potential challenges or limitations.

6. Implementing the Plan:
The administration should initiate the implementation of the plan by allocating necessary resources, manpower, and funds. They should coordinate with relevant departments, organizations, or agencies to ensure the smooth execution of the plan. Regular monitoring and evaluation should be conducted to assess the progress and make any necessary adjustments.

7. Communicating with the Villagers:
Throughout the process, it is crucial for the administration to maintain open and transparent communication with the villagers. They should keep the villagers informed about the progress of the plan, any challenges faced, and the expected outcomes. Regular feedback sessions or meetings can help address any concerns or suggestions raised by the villagers.

8. Long-term Sustainability:
Besides solving the immediate water shortage problem, the administration should also focus on long-term sustainability. They should explore the possibilities of implementing water conservation practices, rainwater harvesting systems, or other measures to ensure a continuous and reliable water supply for the village.

By following these steps, the administration can effectively address the water shortage problem raised by the villagers and work towards providing a sustainable solution for the entire community.