Finding the Third Proportional to 10,404 and 15,666

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404 : 15,666 = 15,666 : x
2. Step 2: Convert to fraction form
   10,404/15,666 = 15,666/x
3. Step 3: Cross multiply
   10,404x = 15,666 × 15,666
4. Step 4: Simplify right side
   10,404x = 245,423,556
5. Step 5: Solve for x
   x = 245,423,556/10,404
6. Step 6: Final answer
   x = 23,589.35