Finding the Third Proportional to 8,532 and 10,098

Step by Step Solution

1. Step 1: Write the proportion equation
   8,532 : 10,098 = 10,098 : x
2. Step 2: Convert to fraction form
   8,532/10,098 = 10,098/x
3. Step 3: Cross multiply
   8,532x = 10,098 × 10,098
4. Step 4: Simplify right side
   8,532x = 101,969,604
5. Step 5: Solve for x
   x = 101,969,604/8,532
6. Step 6: Final answer
   x = 11,951.43