Finding the Third Proportional to 32.25 and 38.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32.25 : 38.75 = 38.75 : x
2. Step 2: Convert to fraction form
   32.25/38.75 = 38.75/x
3. Step 3: Cross multiply
   32.25x = 38.75 × 38.75
4. Step 4: Simplify right side
   32.25x = 1,501.56
5. Step 5: Solve for x
   x = 1,501.56/32.25
6. Step 6: Final answer
   x = 46.56