Finding the Third Proportional to 10,826 and 16,271

Step by Step Solution

1. Step 1: Write the proportion equation
   10,826 : 16,271 = 16,271 : x
2. Step 2: Convert to fraction form
   10,826/16,271 = 16,271/x
3. Step 3: Cross multiply
   10,826x = 16,271 × 16,271
4. Step 4: Simplify right side
   10,826x = 264,745,441
5. Step 5: Solve for x
   x = 264,745,441/10,826
6. Step 6: Final answer
   x = 24,454.59