Finding the Third Proportional to 42.25 and 48.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42.25 : 48.25 = 48.25 : x
2. Step 2: Convert to fraction form
   42.25/48.25 = 48.25/x
3. Step 3: Cross multiply
   42.25x = 48.25 × 48.25
4. Step 4: Simplify right side
   42.25x = 2,328.06
5. Step 5: Solve for x
   x = 2,328.06/42.25
6. Step 6: Final answer
   x = 55.10