Finding the Third Proportional to 10,164 and 13,872

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164 : 13,872 = 13,872 : x
2. Step 2: Convert to fraction form
   10,164/13,872 = 13,872/x
3. Step 3: Cross multiply
   10,164x = 13,872 × 13,872
4. Step 4: Simplify right side
   10,164x = 192,432,384
5. Step 5: Solve for x
   x = 192,432,384/10,164
6. Step 6: Final answer
   x = 18,932.74