Finding the Third Proportional to 31,732 and 67,839

Step by Step Solution

1. Step 1: Write the proportion equation
   31,732 : 67,839 = 67,839 : x
2. Step 2: Convert to fraction form
   31,732/67,839 = 67,839/x
3. Step 3: Cross multiply
   31,732x = 67,839 × 67,839
4. Step 4: Simplify right side
   31,732x = 4,602,129,921
5. Step 5: Solve for x
   x = 4,602,129,921/31,732
6. Step 6: Final answer
   x = 145,031.20