Finding the Third Proportional to 19,824 and 28,644

Step by Step Solution

1. Step 1: Write the proportion equation
   19,824 : 28,644 = 28,644 : x
2. Step 2: Convert to fraction form
   19,824/28,644 = 28,644/x
3. Step 3: Cross multiply
   19,824x = 28,644 × 28,644
4. Step 4: Simplify right side
   19,824x = 820,478,736
5. Step 5: Solve for x
   x = 820,478,736/19,824
6. Step 6: Final answer
   x = 41,388.15