Finding the Third Proportional to 31,901 and 67,255

Step by Step Solution

1. Step 1: Write the proportion equation
   31,901 : 67,255 = 67,255 : x
2. Step 2: Convert to fraction form
   31,901/67,255 = 67,255/x
3. Step 3: Cross multiply
   31,901x = 67,255 × 67,255
4. Step 4: Simplify right side
   31,901x = 4,523,235,025
5. Step 5: Solve for x
   x = 4,523,235,025/31,901
6. Step 6: Final answer
   x = 141,789.76