Finding the Third Proportional to 27.25 and 39.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27.25 : 39.25 = 39.25 : x
2. Step 2: Convert to fraction form
   27.25/39.25 = 39.25/x
3. Step 3: Cross multiply
   27.25x = 39.25 × 39.25
4. Step 4: Simplify right side
   27.25x = 1,540.56
5. Step 5: Solve for x
   x = 1,540.56/27.25
6. Step 6: Final answer
   x = 56.53