Finding the Third Proportional to 38.75 and 54.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38.75 : 54.25 = 54.25 : x
2. Step 2: Convert to fraction form
   38.75/54.25 = 54.25/x
3. Step 3: Cross multiply
   38.75x = 54.25 × 54.25
4. Step 4: Simplify right side
   38.75x = 2,943.06
5. Step 5: Solve for x
   x = 2,943.06/38.75
6. Step 6: Final answer
   x = 75.95