Finding the Third Proportional to 22.78 and 32.48

Step by Step Solution

1. Step 1: Write the proportion equation
   22.78 : 32.48 = 32.48 : x
2. Step 2: Convert to fraction form
   22.78/32.48 = 32.48/x
3. Step 3: Cross multiply
   22.78x = 32.48 × 32.48
4. Step 4: Simplify right side
   22.78x = 1,055.23
5. Step 5: Solve for x
   x = 1,055.23/22.78
6. Step 6: Final answer
   x = 46.32