Finding the Third Proportional to 31,683 and 67,257

Step by Step Solution

1. Step 1: Write the proportion equation
   31,683 : 67,257 = 67,257 : x
2. Step 2: Convert to fraction form
   31,683/67,257 = 67,257/x
3. Step 3: Cross multiply
   31,683x = 67,257 × 67,257
4. Step 4: Simplify right side
   31,683x = 4,523,504,049
5. Step 5: Solve for x
   x = 4,523,504,049/31,683
6. Step 6: Final answer
   x = 142,773.86