Finding the Third Proportional to 31,747 and 67,872

Step by Step Solution

1. Step 1: Write the proportion equation
   31,747 : 67,872 = 67,872 : x
2. Step 2: Convert to fraction form
   31,747/67,872 = 67,872/x
3. Step 3: Cross multiply
   31,747x = 67,872 × 67,872
4. Step 4: Simplify right side
   31,747x = 4,606,608,384
5. Step 5: Solve for x
   x = 4,606,608,384/31,747
6. Step 6: Final answer
   x = 145,103.74