South Georgia and South Sandwich Islands is about 10 times smaller than Bhutan.

Bhutan is approximately 38,394 sq km, while South Georgia and South Sandwich Islands is approximately 3,903 sq km, making South Georgia and South Sandwich Islands 10.17% the size of Bhutan.
Tip: This to-scale comparison of Bhutan 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. Bhutan