Authorizes the legislative authority of a county comprising part of an intercounty rural library district to, by resolution, submit a request to the county auditor calling for an election to be held in the county for the purpose of determining whether the county shall withdraw from the library district. If a majority of the persons voting on the proposition vote in favor of withdrawing the county from the library district, the county shall cease to be a part of the intercounty library district. A pro rata portion of all property, assets, and liabilities of the library district shall be transferred to the rural library district of the withdrawing county.