Within seven (7) days after such election the vote shall be canvassed by said board of supervisors of the principal county. If a majority of the votes cast in such election shall be in favor of organizing such district, said board shall, by order, entered on its minutes, declare the territory included within the proposed boundaries duly organized, as a water replenishment district under the name theretofore designated, and the county clerk of the principal county shall immediately cause to be recorded in the offices of the county recorders of each affected county a certificate stating that such proposition was adopted.