Finding the Third Proportional to 8,098 and 10,635

Step by Step Solution

1. Step 1: Write the proportion equation
   8,098 : 10,635 = 10,635 : x
2. Step 2: Convert to fraction form
   8,098/10,635 = 10,635/x
3. Step 3: Cross multiply
   8,098x = 10,635 × 10,635
4. Step 4: Simplify right side
   8,098x = 113,103,225
5. Step 5: Solve for x
   x = 113,103,225/8,098
6. Step 6: Final answer
   x = 13,966.81