Finding the Third Proportional to 42.75 and 57.23

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 57.23 = 57.23 : x
2. Step 2: Convert to fraction form
   42.75/57.23 = 57.23/x
3. Step 3: Cross multiply
   42.75x = 57.23 × 57.23
4. Step 4: Simplify right side
   42.75x = 3,275.77
5. Step 5: Solve for x
   x = 3,275.77/42.75
6. Step 6: Final answer
   x = 76.63