Finding the Third Proportional to 42.74 and 102.73

Step by Step Solution

1. Step 1: Write the proportion equation
   42.74 : 102.73 = 102.73 : x
2. Step 2: Convert to fraction form
   42.74/102.73 = 102.73/x
3. Step 3: Cross multiply
   42.74x = 102.73 × 102.73
4. Step 4: Simplify right side
   42.74x = 10,552.75
5. Step 5: Solve for x
   x = 10,552.75/42.74
6. Step 6: Final answer
   x = 246.92