Finding the Third Proportional to 10,444 and 16,164

Step by Step Solution

1. Step 1: Write the proportion equation
   10,444 : 16,164 = 16,164 : x
2. Step 2: Convert to fraction form
   10,444/16,164 = 16,164/x
3. Step 3: Cross multiply
   10,444x = 16,164 × 16,164
4. Step 4: Simplify right side
   10,444x = 261,274,896
5. Step 5: Solve for x
   x = 261,274,896/10,444
6. Step 6: Final answer
   x = 25,016.75