Finding the Third Proportional to 23.75 and 33.25

Step by Step Solution

1. Step 1: Write the proportion equation
   23.75 : 33.25 = 33.25 : x
2. Step 2: Convert to fraction form
   23.75/33.25 = 33.25/x
3. Step 3: Cross multiply
   23.75x = 33.25 × 33.25
4. Step 4: Simplify right side
   23.75x = 1,105.56
5. Step 5: Solve for x
   x = 1,105.56/23.75
6. Step 6: Final answer
   x = 46.55