Finding the Third Proportional to 33,098 and 67,708

Step by Step Solution

1. Step 1: Write the proportion equation
   33,098 : 67,708 = 67,708 : x
2. Step 2: Convert to fraction form
   33,098/67,708 = 67,708/x
3. Step 3: Cross multiply
   33,098x = 67,708 × 67,708
4. Step 4: Simplify right side
   33,098x = 4,584,373,264
5. Step 5: Solve for x
   x = 4,584,373,264/33,098
6. Step 6: Final answer
   x = 138,509.07