Finding the Third Proportional to 2,502 and 5,753

Step by Step Solution

1. Step 1: Write the proportion equation
   2,502 : 5,753 = 5,753 : x
2. Step 2: Convert to fraction form
   2,502/5,753 = 5,753/x
3. Step 3: Cross multiply
   2,502x = 5,753 × 5,753
4. Step 4: Simplify right side
   2,502x = 33,097,009
5. Step 5: Solve for x
   x = 33,097,009/2,502
6. Step 6: Final answer
   x = 13,228.22