Any private academy may propose to undertake a school building project to be financed by a loan of the proceeds of bonds or notes of a qualifying municipality and to have such bonds or notes guaranteed by one or more qualifying municipalities as provided in sections 10-289d to 10-289g, inclusive. Any such proposal shall describe generally the school building project, the maximum amount of the loan, the maximum amount of any bonds or notes to be issued, the name of the qualifying municipality which will issue such bonds or notes and the name of each qualifying municipality which will guarantee the payment of such bonds or notes. The private academy shall submit any such proposal to the board of selectmen of each qualifying municipality named in the proposal which has a board of selectmen or to the town council in each qualifying municipality named in the proposal which has a town council. The board of selectmen or town council to which such a proposal is submitted may, and upon the recommendation of the board of education of such qualifying municipality shall, hold a public hearing and a referendum vote on such proposal. The referendum shall be held no later than ninety days after the private academy submits such a proposal to a qualifying municipality. A copy of the proposal shall be filed in the office of the town clerk of each qualifying municipality named in the proposal and shall be made available for public inspection during the period beginning at least five days prior to the public hearing and ending on the day of such referendum. Notice of the public hearing shall be posted and published in a newspaper which has a substantial circulation in the qualifying municipality at least five days prior to such public hearing. Notice of the referendum and the question to be proposed shall be posted and published in a newspaper which has a substantial circulation in the qualifying municipality at least thirty days prior to such referendum. The referendum shall be held between the hours of six a.m. and eight p.m. The vote shall be taken and the results of the vote canvassed and declared in the same manner as is provided for an election of officers of a town, except that any person entitled to vote under § 7-6 may vote. If, in each qualifying municipality named in the proposal, the majority of those persons voting vote in favor of the proposal, the proposal shall be approved.