The board of supervisors receiving the certificates delivered pursuant to Section 15765 shall meet and examine them within three weeks after all the elections are held. If it appears from the certificates that a majority of the votes cast at the election in each unincorporated territory in which such elections are held is in favor of the incorporation of the district, the board of supervisors shall so declare and shall state by order entered in its minutes the name and boundaries of the district, and that the district is formed pursuant to this division.