Except as provided in section 36-14-23, if any individual who owns or who represents the owner of any animal ordered killed under this chapter is not satisfied with the appraisal by the board or its agents, the individual may protest the order within seven days, and a board of three appraisers must then be formed. One member of the board of appraisers must be the agent of the board, one member must be selected by the owner of the animal involved, and the third    member must be selected by the first two members. An appraisal of the animal must be made by the board of appraisers according to section 36-14-27, and if two or more of the appraisers agree upon a certain valuation, the appraisal is final.