Finding the Third Proportional to 10,838 and 16,707

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838 : 16,707 = 16,707 : x
2. Step 2: Convert to fraction form
   10,838/16,707 = 16,707/x
3. Step 3: Cross multiply
   10,838x = 16,707 × 16,707
4. Step 4: Simplify right side
   10,838x = 279,123,849
5. Step 5: Solve for x
   x = 279,123,849/10,838
6. Step 6: Final answer
   x = 25,754.18