Finding the Third Proportional to 8,100 and 16,496

Step by Step Solution

1. Step 1: Write the proportion equation
   8,100 : 16,496 = 16,496 : x
2. Step 2: Convert to fraction form
   8,100/16,496 = 16,496/x
3. Step 3: Cross multiply
   8,100x = 16,496 × 16,496
4. Step 4: Simplify right side
   8,100x = 272,118,016
5. Step 5: Solve for x
   x = 272,118,016/8,100
6. Step 6: Final answer
   x = 33,594.82