Finding the Third Proportional to 23.20 and 34.59

Step by Step Solution

1. Step 1: Write the proportion equation
   23.20 : 34.59 = 34.59 : x
2. Step 2: Convert to fraction form
   23.20/34.59 = 34.59/x
3. Step 3: Cross multiply
   23.20x = 34.59 × 34.59
4. Step 4: Simplify right side
   23.20x = 1,196.73
5. Step 5: Solve for x
   x = 1,196.73/23.20
6. Step 6: Final answer
   x = 51.58