Finding the Third Proportional to 2,824.50 and 5,649

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.50 : 5,649 = 5,649 : x
2. Step 2: Convert to fraction form
   2,824.50/5,649 = 5,649/x
3. Step 3: Cross multiply
   2,824.50x = 5,649 × 5,649
4. Step 4: Simplify right side
   2,824.50x = 31,911,201
5. Step 5: Solve for x
   x = 31,911,201/2,824.50
6. Step 6: Final answer
   x = 11,298