Finding the Third Proportional to 24.25 and 34.56

Step by Step Solution

1. Step 1: Write the proportion equation
   24.25 : 34.56 = 34.56 : x
2. Step 2: Convert to fraction form
   24.25/34.56 = 34.56/x
3. Step 3: Cross multiply
   24.25x = 34.56 × 34.56
4. Step 4: Simplify right side
   24.25x = 1,194.30
5. Step 5: Solve for x
   x = 1,194.30/24.25
6. Step 6: Final answer
   x = 49.26