Finding the Third Proportional to 67.50 and 117.28

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 117.28 = 117.28 : x
2. Step 2: Convert to fraction form
   67.50/117.28 = 117.28/x
3. Step 3: Cross multiply
   67.50x = 117.28 × 117.28
4. Step 4: Simplify right side
   67.50x = 13,754.89
5. Step 5: Solve for x
   x = 13,754.89/67.50
6. Step 6: Final answer
   x = 203.78