If a dispute arises between the governing boards of the districts concerning the division of funds, property, or obligations, a board of arbitrators shall be appointed which shall resolve the dispute. The board shall consist of one person selected by each district from which territory is withdrawn pursuant to a reorganization action under this chapter, one person selected by each district of which territory has become a part pursuant to that reorganization action, and either one or two persons, such that the board of arbitrators contains an odd number of persons, appointed by the county superintendent of schools of the county in which the districts are located. The districts involved may mutually agree that a person appointed as arbitrator by the county superintendent of schools may act as sole arbitrator of the matters to be submitted to arbitration. The necessary expenses and compensation of the arbitrators shall be divided equally between the districts, and the payment of the portion of the expenses is a legal charge against the funds of the school districts. The arbitrator or arbitrators shall make a written finding on the matter submitted to arbitration. The written finding and determination of a majority of the board of arbitrators is final and binding upon the school districts submitting the question to the board of arbitration.