Finding the Third Proportional to 6,838 and 10,909

Step by Step Solution

1. Step 1: Write the proportion equation
   6,838 : 10,909 = 10,909 : x
2. Step 2: Convert to fraction form
   6,838/10,909 = 10,909/x
3. Step 3: Cross multiply
   6,838x = 10,909 × 10,909
4. Step 4: Simplify right side
   6,838x = 119,006,281
5. Step 5: Solve for x
   x = 119,006,281/6,838
6. Step 6: Final answer
   x = 17,403.67