Finding the Third Proportional to 10,404 and 16,446

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404 : 16,446 = 16,446 : x
2. Step 2: Convert to fraction form
   10,404/16,446 = 16,446/x
3. Step 3: Cross multiply
   10,404x = 16,446 × 16,446
4. Step 4: Simplify right side
   10,404x = 270,470,916
5. Step 5: Solve for x
   x = 270,470,916/10,404
6. Step 6: Final answer
   x = 25,996.82