Finding the Third Proportional to 42.75 and 108.42

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 108.42 = 108.42 : x
2. Step 2: Convert to fraction form
   42.75/108.42 = 108.42/x
3. Step 3: Cross multiply
   42.75x = 108.42 × 108.42
4. Step 4: Simplify right side
   42.75x = 11,755.30
5. Step 5: Solve for x
   x = 11,755.30/42.75
6. Step 6: Final answer
   x = 274.98