Finding the Third Proportional to 67.50 and 80.16

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 80.16 = 80.16 : x
2. Step 2: Convert to fraction form
   67.50/80.16 = 80.16/x
3. Step 3: Cross multiply
   67.50x = 80.16 × 80.16
4. Step 4: Simplify right side
   67.50x = 6,425.02
5. Step 5: Solve for x
   x = 6,425.02/67.50
6. Step 6: Final answer
   x = 95.19