Finding the Third Proportional to 67.50 and 162.25

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 162.25 = 162.25 : x
2. Step 2: Convert to fraction form
   67.50/162.25 = 162.25/x
3. Step 3: Cross multiply
   67.50x = 162.25 × 162.25
4. Step 4: Simplify right side
   67.50x = 26,325.06
5. Step 5: Solve for x
   x = 26,325.06/67.50
6. Step 6: Final answer
   x = 390.00