Finding the Third Proportional to 5,256 and 10,404

Step by Step Solution

1. Step 1: Write the proportion equation
   5,256 : 10,404 = 10,404 : x
2. Step 2: Convert to fraction form
   5,256/10,404 = 10,404/x
3. Step 3: Cross multiply
   5,256x = 10,404 × 10,404
4. Step 4: Simplify right side
   5,256x = 108,243,216
5. Step 5: Solve for x
   x = 108,243,216/5,256
6. Step 6: Final answer
   x = 20,594.22