Finding the Third Proportional to 67.50 and 102.09

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 102.09 = 102.09 : x
2. Step 2: Convert to fraction form
   67.50/102.09 = 102.09/x
3. Step 3: Cross multiply
   67.50x = 102.09 × 102.09
4. Step 4: Simplify right side
   67.50x = 10,423.13
5. Step 5: Solve for x
   x = 10,423.13/67.50
6. Step 6: Final answer
   x = 154.42