Finding the Third Proportional to 13,800 and 32,496

Step by Step Solution

1. Step 1: Write the proportion equation
   13,800 : 32,496 = 32,496 : x
2. Step 2: Convert to fraction form
   13,800/32,496 = 32,496/x
3. Step 3: Cross multiply
   13,800x = 32,496 × 32,496
4. Step 4: Simplify right side
   13,800x = 1,055,990,016
5. Step 5: Solve for x
   x = 1,055,990,016/13,800
6. Step 6: Final answer
   x = 76,521.02