Finding the Third Proportional to 42.25 and 80.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42.25 : 80.75 = 80.75 : x
2. Step 2: Convert to fraction form
   42.25/80.75 = 80.75/x
3. Step 3: Cross multiply
   42.25x = 80.75 × 80.75
4. Step 4: Simplify right side
   42.25x = 6,520.56
5. Step 5: Solve for x
   x = 6,520.56/42.25
6. Step 6: Final answer
   x = 154.33