Finding the Third Proportional to 10,238 and 13,892

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238 : 13,892 = 13,892 : x
2. Step 2: Convert to fraction form
   10,238/13,892 = 13,892/x
3. Step 3: Cross multiply
   10,238x = 13,892 × 13,892
4. Step 4: Simplify right side
   10,238x = 192,987,664
5. Step 5: Solve for x
   x = 192,987,664/10,238
6. Step 6: Final answer
   x = 18,850.13