Finding the Third Proportional to 31,872 and 67,536

Step by Step Solution

1. Step 1: Write the proportion equation
   31,872 : 67,536 = 67,536 : x
2. Step 2: Convert to fraction form
   31,872/67,536 = 67,536/x
3. Step 3: Cross multiply
   31,872x = 67,536 × 67,536
4. Step 4: Simplify right side
   31,872x = 4,561,111,296
5. Step 5: Solve for x
   x = 4,561,111,296/31,872
6. Step 6: Final answer
   x = 143,107.16