Finding the Third Proportional to 10,586 and 16,164

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586 : 16,164 = 16,164 : x
2. Step 2: Convert to fraction form
   10,586/16,164 = 16,164/x
3. Step 3: Cross multiply
   10,586x = 16,164 × 16,164
4. Step 4: Simplify right side
   10,586x = 261,274,896
5. Step 5: Solve for x
   x = 261,274,896/10,586
6. Step 6: Final answer
   x = 24,681.17