Finding the Third Proportional to 6,834 and 10,098

Step by Step Solution

1. Step 1: Write the proportion equation
   6,834 : 10,098 = 10,098 : x
2. Step 2: Convert to fraction form
   6,834/10,098 = 10,098/x
3. Step 3: Cross multiply
   6,834x = 10,098 × 10,098
4. Step 4: Simplify right side
   6,834x = 101,969,604
5. Step 5: Solve for x
   x = 101,969,604/6,834
6. Step 6: Final answer
   x = 14,920.93