When one third of the landowners owning a majority of the acreage or a majority of the landowners owning a third of the acreage of real property within a proposed subdrainage district, composed of lands wholly within a drainage district or partly within and partly without such drainage district, shall petition the chancery court, or chancellor in vacation, and shall file a good bond to pay for the expense of the survey of the proposed subdrainage district in case the district is not formed, the said court or the chancellor in vacation shall enter an order directing the drainage commissioners of the county to cause a survey to be made and to ascertain the limits of the region which would be benefited by a proposed system of improvements, giving a general idea of its character, and the estimated costs of drainage, and making such suggestions as to the size of the drainage ditches and their location as the drainage commissioners may deem advisable. They shall file their report with the clerk of the chancery court of the county in which the greater portion of the territory proposed to be included in said subdrainage district is situate.