Finding the Third Proportional to 27.25 and 57.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27.25 : 57.50 = 57.50 : x
2. Step 2: Convert to fraction form
   27.25/57.50 = 57.50/x
3. Step 3: Cross multiply
   27.25x = 57.50 × 57.50
4. Step 4: Simplify right side
   27.25x = 3,306.25
5. Step 5: Solve for x
   x = 3,306.25/27.25
6. Step 6: Final answer
   x = 121.33