In accordance with the provisions of appropriation acts, the state librarian shall annually apportion and direct the payment to each of the eligible libraries its pro rata share of the moneys available for grants-in-aid for local public libraries and regional libraries. The amount due each library shall be computed as follows: The total amount in the fund shall be distributed 2/3 to the eligible local public libraries on the basis that the population of each of the eligible local districts bears to the total population of all eligible local public library districts in Kansas; and 1/3 of the total fund shall be distributed to each of the regional libraries in accordance with a formula for such distribution established by rules and regulations of the state librarian, which formula shall apply a base grant of equal size to each regional library system and shall apply the factors of the population of the territory of each regional library system and the square miles of territory of each regional library system.