Finding the Third Proportional to 33,634 and 72,098

Step by Step Solution

1. Step 1: Write the proportion equation
   33,634 : 72,098 = 72,098 : x
2. Step 2: Convert to fraction form
   33,634/72,098 = 72,098/x
3. Step 3: Cross multiply
   33,634x = 72,098 × 72,098
4. Step 4: Simplify right side
   33,634x = 5,198,121,604
5. Step 5: Solve for x
   x = 5,198,121,604/33,634
6. Step 6: Final answer
   x = 154,549.61