S.D. Codified Laws § 13-39-61
A school board may not become a participating member of a multidistrict center if the resolution provided for in § 13-39-60 is disapproved by a majority of the total number of votes cast on the question of the school district's participation in the multidistrict center. A school board shall call a referendum election if a petition, signed by at least five percent of the number of qualified voters voting in the most recent annual school election, is filed with the business manager within sixty days of the date of publication of the resolution. The form of the ballot question shall be "shall (school district name) become a participating member of (multidistrict center name)?" The school board may call a special election for the referendum provided for in this section. The school board is bound by the result of the election for the next school fiscal year.
SDCL 13-39-61