Finding the Third Proportional to 2,404 and 5,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,404 : 5,180.50 = 5,180.50 : x
2. Step 2: Convert to fraction form
   2,404/5,180.50 = 5,180.50/x
3. Step 3: Cross multiply
   2,404x = 5,180.50 × 5,180.50
4. Step 4: Simplify right side
   2,404x = 26,837,580.25
5. Step 5: Solve for x
   x = 26,837,580.25/2,404
6. Step 6: Final answer
   x = 11,163.72