Finding the Third Proportional to 2,408 and 5,004.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,408 : 5,004.50 = 5,004.50 : x
2. Step 2: Convert to fraction form
   2,408/5,004.50 = 5,004.50/x
3. Step 3: Cross multiply
   2,408x = 5,004.50 × 5,004.50
4. Step 4: Simplify right side
   2,408x = 25,045,020.25
5. Step 5: Solve for x
   x = 25,045,020.25/2,408
6. Step 6: Final answer
   x = 10,400.76