Finding the Third Proportional to 15,728 and 34,480

Step by Step Solution

1. Step 1: Write the proportion equation
   15,728 : 34,480 = 34,480 : x
2. Step 2: Convert to fraction form
   15,728/34,480 = 34,480/x
3. Step 3: Cross multiply
   15,728x = 34,480 × 34,480
4. Step 4: Simplify right side
   15,728x = 1,188,870,400
5. Step 5: Solve for x
   x = 1,188,870,400/15,728
6. Step 6: Final answer
   x = 75,589.42