Finding the Third Proportional to 6,806 and 10,857

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806 : 10,857 = 10,857 : x
2. Step 2: Convert to fraction form
   6,806/10,857 = 10,857/x
3. Step 3: Cross multiply
   6,806x = 10,857 × 10,857
4. Step 4: Simplify right side
   6,806x = 117,874,449
5. Step 5: Solve for x
   x = 117,874,449/6,806
6. Step 6: Final answer
   x = 17,319.20