The county auditor shall enter the valuation of property as equalized by the board of county commissioners and shall extend the taxes thereon, and, upon completing such assessment and extending the taxes thereon, shall correct the current year‘s tax list in accordance with such assessment, if the current year’s tax list has not been certified to the treasurer for collection. In case the current year’s tax list has been certified to the treasurer for collection, the county auditor shall certify to the county treasurer a tax list covering omitted property which has been added to the tax list for the current year. The county treasurer shall correct the current year’s tax list accordingly without obliterating any name, description, or figure in the original tax list as delivered. The county auditor always has the power to correct clerical errors occurring in making up tax lists so as to make them conform to the assessment books. If the tax list has been    delivered to the county treasurer, the county auditor shall certify such corrections to the treasurer, and the treasurer shall make the indicated corrections in the tax lists.