Finding the Third Proportional to 17,824 and 19,744

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824 : 19,744 = 19,744 : x
2. Step 2: Convert to fraction form
   17,824/19,744 = 19,744/x
3. Step 3: Cross multiply
   17,824x = 19,744 × 19,744
4. Step 4: Simplify right side
   17,824x = 389,825,536
5. Step 5: Solve for x
   x = 389,825,536/17,824
6. Step 6: Final answer
   x = 21,870.82