Arkansas is about 35 times bigger than South Georgia and South Sandwich Islands.

South Georgia and South Sandwich Islands is approximately 3,903 sq km, while Arkansas is approximately 134,856 sq km, making Arkansas 3,355% larger than South Georgia and South Sandwich Islands.
Tip: This to-scale comparison of South Georgia and South Sandwich Islands vs. Arkansas uses the Mercator projection, which distorts the size of regions near the poles.

Compare further: Arkansas vs. South Georgia and South Sandwich Islands