Finding the Third Proportional to 21,632 and 31,744

Step by Step Solution

1. Step 1: Write the proportion equation
   21,632 : 31,744 = 31,744 : x
2. Step 2: Convert to fraction form
   21,632/31,744 = 31,744/x
3. Step 3: Cross multiply
   21,632x = 31,744 × 31,744
4. Step 4: Simplify right side
   21,632x = 1,007,681,536
5. Step 5: Solve for x
   x = 1,007,681,536/21,632
6. Step 6: Final answer
   x = 46,582.91