Finding the Third Proportional to 10,824 and 23,676

Step by Step Solution

1. Step 1: Write the proportion equation
   10,824 : 23,676 = 23,676 : x
2. Step 2: Convert to fraction form
   10,824/23,676 = 23,676/x
3. Step 3: Cross multiply
   10,824x = 23,676 × 23,676
4. Step 4: Simplify right side
   10,824x = 560,552,976
5. Step 5: Solve for x
   x = 560,552,976/10,824
6. Step 6: Final answer
   x = 51,787.97