Finding the Third Proportional to 40.72 and 102.69

Step by Step Solution

1. Step 1: Write the proportion equation
   40.72 : 102.69 = 102.69 : x
2. Step 2: Convert to fraction form
   40.72/102.69 = 102.69/x
3. Step 3: Cross multiply
   40.72x = 102.69 × 102.69
4. Step 4: Simplify right side
   40.72x = 10,544.72
5. Step 5: Solve for x
   x = 10,544.72/40.72
6. Step 6: Final answer
   x = 258.96