Finding the Third Proportional to 10,384 and 16,223

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384 : 16,223 = 16,223 : x
2. Step 2: Convert to fraction form
   10,384/16,223 = 16,223/x
3. Step 3: Cross multiply
   10,384x = 16,223 × 16,223
4. Step 4: Simplify right side
   10,384x = 263,185,729
5. Step 5: Solve for x
   x = 263,185,729/10,384
6. Step 6: Final answer
   x = 25,345.31