A sanitary district shall be fairly compensated for losses resulting from annexation. The governing body of a city or city utility and the board of trustees of the sanitary district may agree to terms which provide that the facilities owned by the sanitary district and located within the city shall be retained by the sanitary district for the purpose of sanitary service to customers outside the city. If an agreement is not reached within ninety days, the issues may be submitted to arbitration. If submitted, an arbitrator shall be selected by a committee which includes one member of the governing body of the city or its designee, one member of the sanitary district’s board of trustees or its designee, and a disinterested party selected by the other two members of the committee. A list of qualified arbitrators may be obtained from the American arbitration association or another recognized arbitration organization or association.