Finding the Third Proportional to 80.72 and 105.96

Step by Step Solution

1. Step 1: Write the proportion equation
   80.72 : 105.96 = 105.96 : x
2. Step 2: Convert to fraction form
   80.72/105.96 = 105.96/x
3. Step 3: Cross multiply
   80.72x = 105.96 × 105.96
4. Step 4: Simplify right side
   80.72x = 11,227.72
5. Step 5: Solve for x
   x = 11,227.72/80.72
6. Step 6: Final answer
   x = 139.10