Finding the Third Proportional to 6,826 and 10,883

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826 : 10,883 = 10,883 : x
2. Step 2: Convert to fraction form
   6,826/10,883 = 10,883/x
3. Step 3: Cross multiply
   6,826x = 10,883 × 10,883
4. Step 4: Simplify right side
   6,826x = 118,439,689
5. Step 5: Solve for x
   x = 118,439,689/6,826
6. Step 6: Final answer
   x = 17,351.26