Finding the Third Proportional to 53.16 and 80.72

Step by Step Solution

1. Step 1: Write the proportion equation
   53.16 : 80.72 = 80.72 : x
2. Step 2: Convert to fraction form
   53.16/80.72 = 80.72/x
3. Step 3: Cross multiply
   53.16x = 80.72 × 80.72
4. Step 4: Simplify right side
   53.16x = 6,515.52
5. Step 5: Solve for x
   x = 6,515.52/53.16
6. Step 6: Final answer
   x = 122.57