Finding the Third Proportional to 40.78 and 63.42

Step by Step Solution

1. Step 1: Write the proportion equation
   40.78 : 63.42 = 63.42 : x
2. Step 2: Convert to fraction form
   40.78/63.42 = 63.42/x
3. Step 3: Cross multiply
   40.78x = 63.42 × 63.42
4. Step 4: Simplify right side
   40.78x = 4,022.33
5. Step 5: Solve for x
   x = 4,022.33/40.78
6. Step 6: Final answer
   x = 98.63