Finding the Third Proportional to 6,300 and 8,496

Step by Step Solution

1. Step 1: Write the proportion equation
   6,300 : 8,496 = 8,496 : x
2. Step 2: Convert to fraction form
   6,300/8,496 = 8,496/x
3. Step 3: Cross multiply
   6,300x = 8,496 × 8,496
4. Step 4: Simplify right side
   6,300x = 72,182,016
5. Step 5: Solve for x
   x = 72,182,016/6,300
6. Step 6: Final answer
   x = 11,457.46