Finding the Third Proportional to 10,684 and 23,144

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684 : 23,144 = 23,144 : x
2. Step 2: Convert to fraction form
   10,684/23,144 = 23,144/x
3. Step 3: Cross multiply
   10,684x = 23,144 × 23,144
4. Step 4: Simplify right side
   10,684x = 535,644,736
5. Step 5: Solve for x
   x = 535,644,736/10,684
6. Step 6: Final answer
   x = 50,135.22