Finding the Third Proportional to 17,824 and 19,480

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824 : 19,480 = 19,480 : x
2. Step 2: Convert to fraction form
   17,824/19,480 = 19,480/x
3. Step 3: Cross multiply
   17,824x = 19,480 × 19,480
4. Step 4: Simplify right side
   17,824x = 379,470,400
5. Step 5: Solve for x
   x = 379,470,400/17,824
6. Step 6: Final answer
   x = 21,289.86