Finding the Third Proportional to 6,806 and 10,758

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806 : 10,758 = 10,758 : x
2. Step 2: Convert to fraction form
   6,806/10,758 = 10,758/x
3. Step 3: Cross multiply
   6,806x = 10,758 × 10,758
4. Step 4: Simplify right side
   6,806x = 115,734,564
5. Step 5: Solve for x
   x = 115,734,564/6,806
6. Step 6: Final answer
   x = 17,004.78