Finding the Third Proportional to 40.78 and 57.98

Step by Step Solution

1. Step 1: Write the proportion equation
   40.78 : 57.98 = 57.98 : x
2. Step 2: Convert to fraction form
   40.78/57.98 = 57.98/x
3. Step 3: Cross multiply
   40.78x = 57.98 × 57.98
4. Step 4: Simplify right side
   40.78x = 3,362.19
5. Step 5: Solve for x
   x = 3,362.19/40.78
6. Step 6: Final answer
   x = 82.44