Finding the Third Proportional to 38,304 and 72,405

Step by Step Solution

1. Step 1: Write the proportion equation
   38,304 : 72,405 = 72,405 : x
2. Step 2: Convert to fraction form
   38,304/72,405 = 72,405/x
3. Step 3: Cross multiply
   38,304x = 72,405 × 72,405
4. Step 4: Simplify right side
   38,304x = 5,242,484,025
5. Step 5: Solve for x
   x = 5,242,484,025/38,304
6. Step 6: Final answer
   x = 136,865.18