Finding the Third Proportional to 13,089 and 19,824

Step by Step Solution

1. Step 1: Write the proportion equation
   13,089 : 19,824 = 19,824 : x
2. Step 2: Convert to fraction form
   13,089/19,824 = 19,824/x
3. Step 3: Cross multiply
   13,089x = 19,824 × 19,824
4. Step 4: Simplify right side
   13,089x = 392,990,976
5. Step 5: Solve for x
   x = 392,990,976/13,089
6. Step 6: Final answer
   x = 30,024.52