Finding the Third Proportional to 31,414 and 67,749

Step by Step Solution

1. Step 1: Write the proportion equation
   31,414 : 67,749 = 67,749 : x
2. Step 2: Convert to fraction form
   31,414/67,749 = 67,749/x
3. Step 3: Cross multiply
   31,414x = 67,749 × 67,749
4. Step 4: Simplify right side
   31,414x = 4,589,927,001
5. Step 5: Solve for x
   x = 4,589,927,001/31,414
6. Step 6: Final answer
   x = 146,110.87