Finding the Third Proportional to 42.75 and 96.56

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 96.56 = 96.56 : x
2. Step 2: Convert to fraction form
   42.75/96.56 = 96.56/x
3. Step 3: Cross multiply
   42.75x = 96.56 × 96.56
4. Step 4: Simplify right side
   42.75x = 9,324.32
5. Step 5: Solve for x
   x = 9,324.32/42.75
6. Step 6: Final answer
   x = 218.11