Finding the Third Proportional to 25,744 and 34,480

Step by Step Solution

1. Step 1: Write the proportion equation
   25,744 : 34,480 = 34,480 : x
2. Step 2: Convert to fraction form
   25,744/34,480 = 34,480/x
3. Step 3: Cross multiply
   25,744x = 34,480 × 34,480
4. Step 4: Simplify right side
   25,744x = 1,188,870,400
5. Step 5: Solve for x
   x = 1,188,870,400/25,744
6. Step 6: Final answer
   x = 46,180.48