Finding the Third Proportional to 40.50 and 102.38

Step by Step Solution

1. Step 1: Write the proportion equation
   40.50 : 102.38 = 102.38 : x
2. Step 2: Convert to fraction form
   40.50/102.38 = 102.38/x
3. Step 3: Cross multiply
   40.50x = 102.38 × 102.38
4. Step 4: Simplify right side
   40.50x = 10,480.64
5. Step 5: Solve for x
   x = 10,480.64/40.50
6. Step 6: Final answer
   x = 258.78