Finding the Third Proportional to 31,602 and 68,116

Step by Step Solution

1. Step 1: Write the proportion equation
   31,602 : 68,116 = 68,116 : x
2. Step 2: Convert to fraction form
   31,602/68,116 = 68,116/x
3. Step 3: Cross multiply
   31,602x = 68,116 × 68,116
4. Step 4: Simplify right side
   31,602x = 4,639,789,456
5. Step 5: Solve for x
   x = 4,639,789,456/31,602
6. Step 6: Final answer
   x = 146,819.49