South Georgia and South Sandwich Islands is about 31 times smaller than New York.

New York is approximately 122,283 sq km, while South Georgia and South Sandwich Islands is approximately 3,903 sq km, making South Georgia and South Sandwich Islands 3.19% the size of New York.
Tip: This to-scale comparison of New York vs. South Georgia and South Sandwich Islands uses the Mercator projection, which distorts the size of regions near the poles.

Compare further: South Georgia and South Sandwich Islands vs. New York