Finding the Third Proportional to 10,838 and 17,009

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838 : 17,009 = 17,009 : x
2. Step 2: Convert to fraction form
   10,838/17,009 = 17,009/x
3. Step 3: Cross multiply
   10,838x = 17,009 × 17,009
4. Step 4: Simplify right side
   10,838x = 289,306,081
5. Step 5: Solve for x
   x = 289,306,081/10,838
6. Step 6: Final answer
   x = 26,693.68