Question: What is the seat of the county in which Arcadia is located in the state where Oak Park can be found?

full_context: Document 1: Arcadia Township, Carroll County, Iowa: Arcadia Township is one of eighteen townships in Carroll County, Iowa, USA. As of the 2000 census, its population was 752.
Document 2: Arcadia, Oklahoma: Arcadia is a town in Oklahoma County, Oklahoma, United States, and a part of the Oklahoma City metropolitan area. The population was 247 at the 2010 census, a decrease of 11.5 percent from 279 at the 2000 census.
Document 3: Jackson Township, Clinton County, Indiana: Jackson Township is one of fourteen townships in Clinton County, Indiana. As of the 2010 census, its population was 1,173 and it contained 469 housing units. The township was named for President Andrew Jackson.
Document 4: Oakbrook, Kentucky: Oakbrook is a census-designated place (CDP) in Boone County, Kentucky, United States. The population was 9,036 at the 2010 census.
Document 5: Harrison Township, Wayne County, Indiana: Harrison Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 392 and it contained 138 housing units.
Document 6: Jackson Township, Parke County, Indiana: Jackson Township is one of thirteen townships in Parke County, Indiana, United States. As of the 2010 census, its population was 737 and it contained 475 housing units.
Document 7: Wayne Township, Hamilton County, Indiana: Wayne Township is one of nine townships in Hamilton County, Indiana, United States and serves as one of two townships within Noblesville, Indiana's jurisdiction. As of the 2010 census, its population was 7,886 and it contained 3,252 housing units, an increase from 2415 in 2000, as Noblesville continues to expand eastward and Fishers reaches its northern limits. In 2007, Noblesville officially opened one of the largest mixed use developments in the state, called the Noblesville Corporate Campus. A portion of the development is located within the township. When completed, it will include a large industrial/commercial park, several housing developments, hotels, greenspace and a large outdoor shopping center called Hamilton Town Center, being built by the Simon Property Group, headquartered in nearby Indianapolis.
Document 8: Oak Park, Indiana: Oak Park is a census-designated place (CDP) in Clark County, Indiana, United States. The population was 5,379 at the 2000 census.
Document 9: Adams Township, Parke County, Indiana: Adams Township is one of thirteen townships in Parke County, Indiana, United States. As of the 2010 census, its population was 5,825 and it contained 2,062 housing units.
Document 10: Center Township, Wayne County, Indiana: Center Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 7,579 and it contained 3,204 housing units.
Document 11: Arcadia, North Carolina: Arcadia is an unincorporated community in Davidson County, North Carolina. It is located in the northwestern section of the county along NC Highway 150. Neighboring communities and municipalities include Midway, Welcome, and Winston-Salem.
Document 12: Arcadia, Indiana: Arcadia is a town in Jackson Township, Hamilton County, Indiana, United States. The population was 1,666 at the 2010 census.
Document 13: Wayne Township, Allen County, Indiana: Wayne Township is one of twenty townships in Allen County, Indiana, United States. As of the 2010 census, its population was 103,803.
Document 14: Sugar Creek Township, Parke County, Indiana: Sugar Creek Township is one of thirteen townships in Parke County, Indiana, United States. As of the 2010 census, its population was 322 and it contained 154 housing units. The township includes the north half of Turkey Run State Park.
Document 15: Center Township, Marion County, Indiana: Center Township is one of nine townships in Marion County, Indiana, in the United States. As of the 2010 census, its population was 142,787 and it contained 76,872 housing units. It is the most populated township in Marion County.
ground_truth: Noblesville
sub_queries: Oak Park >> located in the administrative territorial entity Answer: Indiana
Arcadia, Indiana >> located in the administrative territorial entity Answer: Hamilton County
Hamilton County >> capital Answer: Noblesville