Finding the Third Proportional to 6,826 and 10,867

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826 : 10,867 = 10,867 : x
2. Step 2: Convert to fraction form
   6,826/10,867 = 10,867/x
3. Step 3: Cross multiply
   6,826x = 10,867 × 10,867
4. Step 4: Simplify right side
   6,826x = 118,091,689
5. Step 5: Solve for x
   x = 118,091,689/6,826
6. Step 6: Final answer
   x = 17,300.28