Finding the Third Proportional to 384.75 and 413.54

Step by Step Solution

1. Step 1: Write the proportion equation
   384.75 : 413.54 = 413.54 : x
2. Step 2: Convert to fraction form
   384.75/413.54 = 413.54/x
3. Step 3: Cross multiply
   384.75x = 413.54 × 413.54
4. Step 4: Simplify right side
   384.75x = 171,017.79
5. Step 5: Solve for x
   x = 171,017.79/384.75
6. Step 6: Final answer
   x = 444.49