The county hospital board may be created under the provisions of this chapter at any time, and when created the members of the county hospital board who have been appointed and qualified shall, within ten (10) days after the appointment of the board, meet, organize and enter upon the performance of its duties. A county hospital board once created shall continue until such time as its discontinuance is ordered by a majority vote of the qualified electors of the county voting upon the question of discontinuance of the county hospital board at an election, held subject to the provisions of section 34-106, Idaho Code, at which the question is submitted to the electors for their vote by appropriate action and proceedings of the board of county commissioners.