Finding the Third Proportional to 2,491 and 5,418.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,491 : 5,418.50 = 5,418.50 : x
2. Step 2: Convert to fraction form
   2,491/5,418.50 = 5,418.50/x
3. Step 3: Cross multiply
   2,491x = 5,418.50 × 5,418.50
4. Step 4: Simplify right side
   2,491x = 29,360,142.25
5. Step 5: Solve for x
   x = 29,360,142.25/2,491
6. Step 6: Final answer
   x = 11,786.49