Finding the Third Proportional to 67.50 and 108.06

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 108.06 = 108.06 : x
2. Step 2: Convert to fraction form
   67.50/108.06 = 108.06/x
3. Step 3: Cross multiply
   67.50x = 108.06 × 108.06
4. Step 4: Simplify right side
   67.50x = 11,677.50
5. Step 5: Solve for x
   x = 11,677.50/67.50
6. Step 6: Final answer
   x = 173.00