Finding the Third Proportional to 12,180 and 16,006

Step by Step Solution

1. Step 1: Write the proportion equation
   12,180 : 16,006 = 16,006 : x
2. Step 2: Convert to fraction form
   12,180/16,006 = 16,006/x
3. Step 3: Cross multiply
   12,180x = 16,006 × 16,006
4. Step 4: Simplify right side
   12,180x = 256,192,036
5. Step 5: Solve for x
   x = 256,192,036/12,180
6. Step 6: Final answer
   x = 21,033.83