Finding the Third Proportional to 10,806 and 23,268

Step by Step Solution

1. Step 1: Write the proportion equation
   10,806 : 23,268 = 23,268 : x
2. Step 2: Convert to fraction form
   10,806/23,268 = 23,268/x
3. Step 3: Cross multiply
   10,806x = 23,268 × 23,268
4. Step 4: Simplify right side
   10,806x = 541,399,824
5. Step 5: Solve for x
   x = 541,399,824/10,806
6. Step 6: Final answer
   x = 50,101.78