Finding the Third Proportional to 71.72 and 110.85

Step by Step Solution

1. Step 1: Write the proportion equation
   71.72 : 110.85 = 110.85 : x
2. Step 2: Convert to fraction form
   71.72/110.85 = 110.85/x
3. Step 3: Cross multiply
   71.72x = 110.85 × 110.85
4. Step 4: Simplify right side
   71.72x = 12,287.20
5. Step 5: Solve for x
   x = 12,287.20/71.72
6. Step 6: Final answer
   x = 171.32