If it appears and the board of supervisors finds that more than a majority of the votes cast at the election were cast for the district and the incurring of the indebtedness, it shall have that fact entered upon the minutes, together with a description of the boundaries of the district, its name, and the official name or names by which the district is commonly known, and enter an order declaring the district duly formed, and existing in the county in which the proceedings were had, and that an indebtedness of the district is authorized in the principal sum specified, to pay the cost of making the improvement or development, as set forth in the resolution.