Finding the Third Proportional to 67.50 and 170.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 170.50 = 170.50 : x
2. Step 2: Convert to fraction form
   67.50/170.50 = 170.50/x
3. Step 3: Cross multiply
   67.50x = 170.50 × 170.50
4. Step 4: Simplify right side
   67.50x = 29,070.25
5. Step 5: Solve for x
   x = 29,070.25/67.50
6. Step 6: Final answer
   x = 430.67