Finding the Third Proportional to 67.50 and 72.75

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 72.75 = 72.75 : x
2. Step 2: Convert to fraction form
   67.50/72.75 = 72.75/x
3. Step 3: Cross multiply
   67.50x = 72.75 × 72.75
4. Step 4: Simplify right side
   67.50x = 5,292.56
5. Step 5: Solve for x
   x = 5,292.56/67.50
6. Step 6: Final answer
   x = 78.41