Finding the Third Proportional to 2,824 and 3,588

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824 : 3,588 = 3,588 : x
2. Step 2: Convert to fraction form
   2,824/3,588 = 3,588/x
3. Step 3: Cross multiply
   2,824x = 3,588 × 3,588
4. Step 4: Simplify right side
   2,824x = 12,873,744
5. Step 5: Solve for x
   x = 12,873,744/2,824
6. Step 6: Final answer
   x = 4,558.69