Finding the Third Proportional to 40.13 and 82.78

Step by Step Solution

1. Step 1: Write the proportion equation
   40.13 : 82.78 = 82.78 : x
2. Step 2: Convert to fraction form
   40.13/82.78 = 82.78/x
3. Step 3: Cross multiply
   40.13x = 82.78 × 82.78
4. Step 4: Simplify right side
   40.13x = 6,852.74
5. Step 5: Solve for x
   x = 6,852.74/40.13
6. Step 6: Final answer
   x = 170.78