Finding the Third Proportional to 42.75 and 72.89

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 72.89 = 72.89 : x
2. Step 2: Convert to fraction form
   42.75/72.89 = 72.89/x
3. Step 3: Cross multiply
   42.75x = 72.89 × 72.89
4. Step 4: Simplify right side
   42.75x = 5,313.04
5. Step 5: Solve for x
   x = 5,313.04/42.75
6. Step 6: Final answer
   x = 124.28