Finding the Third Proportional to 10,200 and 19,824

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200 : 19,824 = 19,824 : x
2. Step 2: Convert to fraction form
   10,200/19,824 = 19,824/x
3. Step 3: Cross multiply
   10,200x = 19,824 × 19,824
4. Step 4: Simplify right side
   10,200x = 392,990,976
5. Step 5: Solve for x
   x = 392,990,976/10,200
6. Step 6: Final answer
   x = 38,528.53