Finding the Third Proportional to 17,184 and 19,872

Step by Step Solution

1. Step 1: Write the proportion equation
   17,184 : 19,872 = 19,872 : x
2. Step 2: Convert to fraction form
   17,184/19,872 = 19,872/x
3. Step 3: Cross multiply
   17,184x = 19,872 × 19,872
4. Step 4: Simplify right side
   17,184x = 394,896,384
5. Step 5: Solve for x
   x = 394,896,384/17,184
6. Step 6: Final answer
   x = 22,980.47