Finding the Third Proportional to 2,824 and 7,636

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824 : 7,636 = 7,636 : x
2. Step 2: Convert to fraction form
   2,824/7,636 = 7,636/x
3. Step 3: Cross multiply
   2,824x = 7,636 × 7,636
4. Step 4: Simplify right side
   2,824x = 58,308,496
5. Step 5: Solve for x
   x = 58,308,496/2,824
6. Step 6: Final answer
   x = 20,647.48