Finding the Third Proportional to 31,680 and 42,651

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680 : 42,651 = 42,651 : x
2. Step 2: Convert to fraction form
   31,680/42,651 = 42,651/x
3. Step 3: Cross multiply
   31,680x = 42,651 × 42,651
4. Step 4: Simplify right side
   31,680x = 1,819,107,801
5. Step 5: Solve for x
   x = 1,819,107,801/31,680
6. Step 6: Final answer
   x = 57,421.33