Finding the Third Proportional to 38,400 and 78,744

Step by Step Solution

1. Step 1: Write the proportion equation
   38,400 : 78,744 = 78,744 : x
2. Step 2: Convert to fraction form
   38,400/78,744 = 78,744/x
3. Step 3: Cross multiply
   38,400x = 78,744 × 78,744
4. Step 4: Simplify right side
   38,400x = 6,200,617,536
5. Step 5: Solve for x
   x = 6,200,617,536/38,400
6. Step 6: Final answer
   x = 161,474.42