Finding the Third Proportional to 23.25 and 32.81

Step by Step Solution

1. Step 1: Write the proportion equation
   23.25 : 32.81 = 32.81 : x
2. Step 2: Convert to fraction form
   23.25/32.81 = 32.81/x
3. Step 3: Cross multiply
   23.25x = 32.81 × 32.81
4. Step 4: Simplify right side
   23.25x = 1,076.66
5. Step 5: Solve for x
   x = 1,076.66/23.25
6. Step 6: Final answer
   x = 46.31