Finding the Third Proportional to 14,520 and 34,098

Step by Step Solution

1. Step 1: Write the proportion equation
   14,520 : 34,098 = 34,098 : x
2. Step 2: Convert to fraction form
   14,520/34,098 = 34,098/x
3. Step 3: Cross multiply
   14,520x = 34,098 × 34,098
4. Step 4: Simplify right side
   14,520x = 1,162,673,604
5. Step 5: Solve for x
   x = 1,162,673,604/14,520
6. Step 6: Final answer
   x = 80,073.94