Finding the Third Proportional to 6,826 and 10,435

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826 : 10,435 = 10,435 : x
2. Step 2: Convert to fraction form
   6,826/10,435 = 10,435/x
3. Step 3: Cross multiply
   6,826x = 10,435 × 10,435
4. Step 4: Simplify right side
   6,826x = 108,889,225
5. Step 5: Solve for x
   x = 108,889,225/6,826
6. Step 6: Final answer
   x = 15,952.13