Finding the Third Proportional to 42.75 and 67.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 67.75 = 67.75 : x
2. Step 2: Convert to fraction form
   42.75/67.75 = 67.75/x
3. Step 3: Cross multiply
   42.75x = 67.75 × 67.75
4. Step 4: Simplify right side
   42.75x = 4,590.06
5. Step 5: Solve for x
   x = 4,590.06/42.75
6. Step 6: Final answer
   x = 107.37