Finding the Third Proportional to 14.78 and 32.33

Step by Step Solution

1. Step 1: Write the proportion equation
   14.78 : 32.33 = 32.33 : x
2. Step 2: Convert to fraction form
   14.78/32.33 = 32.33/x
3. Step 3: Cross multiply
   14.78x = 32.33 × 32.33
4. Step 4: Simplify right side
   14.78x = 1,045.28
5. Step 5: Solve for x
   x = 1,045.28/14.78
6. Step 6: Final answer
   x = 70.72