Finding the Third Proportional to 31,102 and 67,114

Step by Step Solution

1. Step 1: Write the proportion equation
   31,102 : 67,114 = 67,114 : x
2. Step 2: Convert to fraction form
   31,102/67,114 = 67,114/x
3. Step 3: Cross multiply
   31,102x = 67,114 × 67,114
4. Step 4: Simplify right side
   31,102x = 4,504,288,996
5. Step 5: Solve for x
   x = 4,504,288,996/31,102
6. Step 6: Final answer
   x = 144,823.13