Finding the Third Proportional to 80.72 and 106.73

Step by Step Solution

1. Step 1: Write the proportion equation
   80.72 : 106.73 = 106.73 : x
2. Step 2: Convert to fraction form
   80.72/106.73 = 106.73/x
3. Step 3: Cross multiply
   80.72x = 106.73 × 106.73
4. Step 4: Simplify right side
   80.72x = 11,392.23
5. Step 5: Solve for x
   x = 11,392.23/80.72
6. Step 6: Final answer
   x = 141.13