The state board of education may correct any error made in the apportionment of the state school moneys fund and classroom trust fund among the various districts of this state out of the state school moneys fund and classroom trust fund of the year next following the date when the mistake was made. The state board of education shall certify the amount set apart to any school district for the purpose of correcting any error to the commissioner of administration, and the commissioner of administration shall certify the amount so apportioned for proper payment, and the district treasurer shall credit the funds as the funds of the year in which the error occurred. If any district has received funds in excess of the amount to which it was entitled, its apportionment for the next succeeding year shall be reduced accordingly.