Finding the Third Proportional to 38,592 and 57,744

Step by Step Solution

1. Step 1: Write the proportion equation
   38,592 : 57,744 = 57,744 : x
2. Step 2: Convert to fraction form
   38,592/57,744 = 57,744/x
3. Step 3: Cross multiply
   38,592x = 57,744 × 57,744
4. Step 4: Simplify right side
   38,592x = 3,334,369,536
5. Step 5: Solve for x
   x = 3,334,369,536/38,592
6. Step 6: Final answer
   x = 86,400.54