If a majority of the votes cast at the special election are in favor of formation of the district, the county elections official shall, within ten days after the board of supervisors has declared the result thereof, record in the office of the county recorder a complete certified copy of the statement of results entered on the minutes of the board of supervisors in accordance with Section 1180, together with a complete certified copy of the petition for formation of the district, except that the signatures on the petition need not be certified and recorded.