Finding the Third Proportional to 31,138 and 67,566

Step by Step Solution

1. Step 1: Write the proportion equation
   31,138 : 67,566 = 67,566 : x
2. Step 2: Convert to fraction form
   31,138/67,566 = 67,566/x
3. Step 3: Cross multiply
   31,138x = 67,566 × 67,566
4. Step 4: Simplify right side
   31,138x = 4,565,164,356
5. Step 5: Solve for x
   x = 4,565,164,356/31,138
6. Step 6: Final answer
   x = 146,610.71