Finding the Third Proportional to 42.75 and 109.13

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 109.13 = 109.13 : x
2. Step 2: Convert to fraction form
   42.75/109.13 = 109.13/x
3. Step 3: Cross multiply
   42.75x = 109.13 × 109.13
4. Step 4: Simplify right side
   42.75x = 11,908.27
5. Step 5: Solve for x
   x = 11,908.27/42.75
6. Step 6: Final answer
   x = 278.56