Finding the Third Proportional to 2,504 and 5,353

Step by Step Solution

1. Step 1: Write the proportion equation
   2,504 : 5,353 = 5,353 : x
2. Step 2: Convert to fraction form
   2,504/5,353 = 5,353/x
3. Step 3: Cross multiply
   2,504x = 5,353 × 5,353
4. Step 4: Simplify right side
   2,504x = 28,654,609
5. Step 5: Solve for x
   x = 28,654,609/2,504
6. Step 6: Final answer
   x = 11,443.53