Finding the Third Proportional to 31,757 and 67,732

Step by Step Solution

1. Step 1: Write the proportion equation
   31,757 : 67,732 = 67,732 : x
2. Step 2: Convert to fraction form
   31,757/67,732 = 67,732/x
3. Step 3: Cross multiply
   31,757x = 67,732 × 67,732
4. Step 4: Simplify right side
   31,757x = 4,587,623,824
5. Step 5: Solve for x
   x = 4,587,623,824/31,757
6. Step 6: Final answer
   x = 144,460.24