Finding the Third Proportional to 38,400 and 56,472

Step by Step Solution

1. Step 1: Write the proportion equation
   38,400 : 56,472 = 56,472 : x
2. Step 2: Convert to fraction form
   38,400/56,472 = 56,472/x
3. Step 3: Cross multiply
   38,400x = 56,472 × 56,472
4. Step 4: Simplify right side
   38,400x = 3,189,086,784
5. Step 5: Solve for x
   x = 3,189,086,784/38,400
6. Step 6: Final answer
   x = 83,049.14