Finding the Third Proportional to 14,400 and 21,648

Step by Step Solution

1. Step 1: Write the proportion equation
   14,400 : 21,648 = 21,648 : x
2. Step 2: Convert to fraction form
   14,400/21,648 = 21,648/x
3. Step 3: Cross multiply
   14,400x = 21,648 × 21,648
4. Step 4: Simplify right side
   14,400x = 468,635,904
5. Step 5: Solve for x
   x = 468,635,904/14,400
6. Step 6: Final answer
   x = 32,544.16