When a common school district or a high school district adjacent to or embracing all or a portion of a military reservation has a larger school population than it had the previous year, as shown by a census enumeration certified by the county school superintendent, and it is not feasible educationally and economically for the school district to provide adequate school facilities for the military reservation, the school district governing board or the authorities of the military reservation may petition the state board of education to withdraw the military reservation from the school district. Within thirty days after receipt of the petition the state board of education shall hold a hearing thereon and within ten days after the hearing shall allow or deny the petition. If allowed, the state board shall direct the county school superintendent to withdraw the military reservation from the school district in which it is in whole or in part included and to report the change of school district boundaries to the board of supervisors.