Finding the Third Proportional to 11,826 and 16,443

Step by Step Solution

1. Step 1: Write the proportion equation
   11,826 : 16,443 = 16,443 : x
2. Step 2: Convert to fraction form
   11,826/16,443 = 16,443/x
3. Step 3: Cross multiply
   11,826x = 16,443 × 16,443
4. Step 4: Simplify right side
   11,826x = 270,372,249
5. Step 5: Solve for x
   x = 270,372,249/11,826
6. Step 6: Final answer
   x = 22,862.53