Finding the Third Proportional to 2,494.88 and 3,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,494.88 : 3,913.50 = 3,913.50 : x
2. Step 2: Convert to fraction form
   2,494.88/3,913.50 = 3,913.50/x
3. Step 3: Cross multiply
   2,494.88x = 3,913.50 × 3,913.50
4. Step 4: Simplify right side
   2,494.88x = 15,315,482.25
5. Step 5: Solve for x
   x = 15,315,482.25/2,494.88
6. Step 6: Final answer
   x = 6,138.78