Finding the Third Proportional to 6,805 and 10,826

Step by Step Solution

1. Step 1: Write the proportion equation
   6,805 : 10,826 = 10,826 : x
2. Step 2: Convert to fraction form
   6,805/10,826 = 10,826/x
3. Step 3: Cross multiply
   6,805x = 10,826 × 10,826
4. Step 4: Simplify right side
   6,805x = 117,202,276
5. Step 5: Solve for x
   x = 117,202,276/6,805
6. Step 6: Final answer
   x = 17,222.96