Finding the Third Proportional to 67.50 and 105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 105.75 = 105.75 : x
2. Step 2: Convert to fraction form
   67.50/105.75 = 105.75/x
3. Step 3: Cross multiply
   67.50x = 105.75 × 105.75
4. Step 4: Simplify right side
   67.50x = 11,183.06
5. Step 5: Solve for x
   x = 11,183.06/67.50
6. Step 6: Final answer
   x = 165.68