Finding the Third Proportional to 10,238 and 16,383

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238 : 16,383 = 16,383 : x
2. Step 2: Convert to fraction form
   10,238/16,383 = 16,383/x
3. Step 3: Cross multiply
   10,238x = 16,383 × 16,383
4. Step 4: Simplify right side
   10,238x = 268,402,689
5. Step 5: Solve for x
   x = 268,402,689/10,238
6. Step 6: Final answer
   x = 26,216.32