Finding the Third Proportional to 10,802 and 23,824

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802 : 23,824 = 23,824 : x
2. Step 2: Convert to fraction form
   10,802/23,824 = 23,824/x
3. Step 3: Cross multiply
   10,802x = 23,824 × 23,824
4. Step 4: Simplify right side
   10,802x = 567,582,976
5. Step 5: Solve for x
   x = 567,582,976/10,802
6. Step 6: Final answer
   x = 52,544.25