Finding the Third Proportional to 23,684 and 51,824

Step by Step Solution

1. Step 1: Write the proportion equation
   23,684 : 51,824 = 51,824 : x
2. Step 2: Convert to fraction form
   23,684/51,824 = 51,824/x
3. Step 3: Cross multiply
   23,684x = 51,824 × 51,824
4. Step 4: Simplify right side
   23,684x = 2,685,726,976
5. Step 5: Solve for x
   x = 2,685,726,976/23,684
6. Step 6: Final answer
   x = 113,398.37