When an initial resolution has been adopted under Kan. Stat. Ann. § 3-316, and such resolution specified a smaller number of mills than two or a smaller number of years than five, the board of county commissioners of such county may adopt a second resolution under the same procedure as is provided in Kan. Stat. Ann. § 3-316 for the initial resolution and subject to the same conditions as provided in Kan. Stat. Ann. § 3-316 shall be authorized to make such additional tax levy as is specified in such second resolution for the remainder of the five years succeeding the adoption of such initial resolution. Any such second resolution shall be limited in amount as specified in Kan. Stat. Ann. § 3-316, less such amount as has been authorized in the initial resolution, and not to exceed two mills in any one year. In the event that any such resolution is so adopted and the tax levy therein specified is approved under the conditions specified in Kan. Stat. Ann. § 3-316, the amount of bonds which may be issued under Kan. Stat. Ann. § 3-319 shall be increased accordingly.