Finding the Third Proportional to 24.19 and 34.59

Step by Step Solution

1. Step 1: Write the proportion equation
   24.19 : 34.59 = 34.59 : x
2. Step 2: Convert to fraction form
   24.19/34.59 = 34.59/x
3. Step 3: Cross multiply
   24.19x = 34.59 × 34.59
4. Step 4: Simplify right side
   24.19x = 1,196.73
5. Step 5: Solve for x
   x = 1,196.73/24.19
6. Step 6: Final answer
   x = 49.48