Finding the Third Proportional to 42.25 and 55.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42.25 : 55.25 = 55.25 : x
2. Step 2: Convert to fraction form
   42.25/55.25 = 55.25/x
3. Step 3: Cross multiply
   42.25x = 55.25 × 55.25
4. Step 4: Simplify right side
   42.25x = 3,052.56
5. Step 5: Solve for x
   x = 3,052.56/42.25
6. Step 6: Final answer
   x = 72.25