Finding the Third Proportional to 10,404 and 22,824

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404 : 22,824 = 22,824 : x
2. Step 2: Convert to fraction form
   10,404/22,824 = 22,824/x
3. Step 3: Cross multiply
   10,404x = 22,824 × 22,824
4. Step 4: Simplify right side
   10,404x = 520,934,976
5. Step 5: Solve for x
   x = 520,934,976/10,404
6. Step 6: Final answer
   x = 50,070.64