Finding the Third Proportional to 67.50 and 105.19

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 105.19 = 105.19 : x
2. Step 2: Convert to fraction form
   67.50/105.19 = 105.19/x
3. Step 3: Cross multiply
   67.50x = 105.19 × 105.19
4. Step 4: Simplify right side
   67.50x = 11,064.41
5. Step 5: Solve for x
   x = 11,064.41/67.50
6. Step 6: Final answer
   x = 163.92