Finding the Third Proportional to 40.75 and 57.63

Step by Step Solution

1. Step 1: Write the proportion equation
   40.75 : 57.63 = 57.63 : x
2. Step 2: Convert to fraction form
   40.75/57.63 = 57.63/x
3. Step 3: Cross multiply
   40.75x = 57.63 × 57.63
4. Step 4: Simplify right side
   40.75x = 3,320.64
5. Step 5: Solve for x
   x = 3,320.64/40.75
6. Step 6: Final answer
   x = 81.49