Finding the Third Proportional to 14.78 and 32.41

Step by Step Solution

1. Step 1: Write the proportion equation
   14.78 : 32.41 = 32.41 : x
2. Step 2: Convert to fraction form
   14.78/32.41 = 32.41/x
3. Step 3: Cross multiply
   14.78x = 32.41 × 32.41
4. Step 4: Simplify right side
   14.78x = 1,050.17
5. Step 5: Solve for x
   x = 1,050.17/14.78
6. Step 6: Final answer
   x = 71.05