Finding the Third Proportional to 36.56 and 80.72

Step by Step Solution

1. Step 1: Write the proportion equation
   36.56 : 80.72 = 80.72 : x
2. Step 2: Convert to fraction form
   36.56/80.72 = 80.72/x
3. Step 3: Cross multiply
   36.56x = 80.72 × 80.72
4. Step 4: Simplify right side
   36.56x = 6,515.52
5. Step 5: Solve for x
   x = 6,515.52/36.56
6. Step 6: Final answer
   x = 178.20