Finding the Third Proportional to 11,972 and 16,005

Step by Step Solution

1. Step 1: Write the proportion equation
   11,972 : 16,005 = 16,005 : x
2. Step 2: Convert to fraction form
   11,972/16,005 = 16,005/x
3. Step 3: Cross multiply
   11,972x = 16,005 × 16,005
4. Step 4: Simplify right side
   11,972x = 256,160,025
5. Step 5: Solve for x
   x = 256,160,025/11,972
6. Step 6: Final answer
   x = 21,396.59