Finding the Third Proportional to 31,344 and 68,616

Step by Step Solution

1. Step 1: Write the proportion equation
   31,344 : 68,616 = 68,616 : x
2. Step 2: Convert to fraction form
   31,344/68,616 = 68,616/x
3. Step 3: Cross multiply
   31,344x = 68,616 × 68,616
4. Step 4: Simplify right side
   31,344x = 4,708,155,456
5. Step 5: Solve for x
   x = 4,708,155,456/31,344
6. Step 6: Final answer
   x = 150,209.15