Finding the Third Proportional to 6,826 and 10,854

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826 : 10,854 = 10,854 : x
2. Step 2: Convert to fraction form
   6,826/10,854 = 10,854/x
3. Step 3: Cross multiply
   6,826x = 10,854 × 10,854
4. Step 4: Simplify right side
   6,826x = 117,809,316
5. Step 5: Solve for x
   x = 117,809,316/6,826
6. Step 6: Final answer
   x = 17,258.91