Finding the Third Proportional to 31,422 and 67,762

Step by Step Solution

1. Step 1: Write the proportion equation
   31,422 : 67,762 = 67,762 : x
2. Step 2: Convert to fraction form
   31,422/67,762 = 67,762/x
3. Step 3: Cross multiply
   31,422x = 67,762 × 67,762
4. Step 4: Simplify right side
   31,422x = 4,591,688,644
5. Step 5: Solve for x
   x = 4,591,688,644/31,422
6. Step 6: Final answer
   x = 146,129.74