Finding the Third Proportional to 21,700 and 31,727

Step by Step Solution

1. Step 1: Write the proportion equation
   21,700 : 31,727 = 31,727 : x
2. Step 2: Convert to fraction form
   21,700/31,727 = 31,727/x
3. Step 3: Cross multiply
   21,700x = 31,727 × 31,727
4. Step 4: Simplify right side
   21,700x = 1,006,602,529
5. Step 5: Solve for x
   x = 1,006,602,529/21,700
6. Step 6: Final answer
   x = 46,387.21