Finding the Third Proportional to 23.20 and 33.89

Step by Step Solution

1. Step 1: Write the proportion equation
   23.20 : 33.89 = 33.89 : x
2. Step 2: Convert to fraction form
   23.20/33.89 = 33.89/x
3. Step 3: Cross multiply
   23.20x = 33.89 × 33.89
4. Step 4: Simplify right side
   23.20x = 1,148.57
5. Step 5: Solve for x
   x = 1,148.57/23.20
6. Step 6: Final answer
   x = 49.50