If the board finds that the petition was signed by taxpayers representing 60 percent or more of the total assessed valuation of all taxable property within the territory therein proposed to be formed into a district, and within the boundaries thereof as finally established by the board, and that public interest and convenience do not require that an election be held upon the proposed formation of said district, it may proceed to establish the district by resolution. The provisions of Section 19112 shall apply to a district formed pursuant to this section.