Finding the Third Proportional to 14.81 and 33.42

Step by Step Solution

1. Step 1: Write the proportion equation
   14.81 : 33.42 = 33.42 : x
2. Step 2: Convert to fraction form
   14.81/33.42 = 33.42/x
3. Step 3: Cross multiply
   14.81x = 33.42 × 33.42
4. Step 4: Simplify right side
   14.81x = 1,117.02
5. Step 5: Solve for x
   x = 1,117.02/14.81
6. Step 6: Final answer
   x = 75.41