Finding the Third Proportional to 31,166 and 67,616

Step by Step Solution

1. Step 1: Write the proportion equation
   31,166 : 67,616 = 67,616 : x
2. Step 2: Convert to fraction form
   31,166/67,616 = 67,616/x
3. Step 3: Cross multiply
   31,166x = 67,616 × 67,616
4. Step 4: Simplify right side
   31,166x = 4,571,923,456
5. Step 5: Solve for x
   x = 4,571,923,456/31,166
6. Step 6: Final answer
   x = 146,695.87