Finding the Third Proportional to 6,839 and 10,259

Step by Step Solution

1. Step 1: Write the proportion equation
   6,839 : 10,259 = 10,259 : x
2. Step 2: Convert to fraction form
   6,839/10,259 = 10,259/x
3. Step 3: Cross multiply
   6,839x = 10,259 × 10,259
4. Step 4: Simplify right side
   6,839x = 105,247,081
5. Step 5: Solve for x
   x = 105,247,081/6,839
6. Step 6: Final answer
   x = 15,389.25