Finding the Third Proportional to 15,838 and 25,078

Step by Step Solution

1. Step 1: Write the proportion equation
   15,838 : 25,078 = 25,078 : x
2. Step 2: Convert to fraction form
   15,838/25,078 = 25,078/x
3. Step 3: Cross multiply
   15,838x = 25,078 × 25,078
4. Step 4: Simplify right side
   15,838x = 628,906,084
5. Step 5: Solve for x
   x = 628,906,084/15,838
6. Step 6: Final answer
   x = 39,708.68