Finding the Third Proportional to 2,823 and 5,504.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,823 : 5,504.25 = 5,504.25 : x
2. Step 2: Convert to fraction form
   2,823/5,504.25 = 5,504.25/x
3. Step 3: Cross multiply
   2,823x = 5,504.25 × 5,504.25
4. Step 4: Simplify right side
   2,823x = 30,296,768.06
5. Step 5: Solve for x
   x = 30,296,768.06/2,823
6. Step 6: Final answer
   x = 10,732.12