Finding the Third Proportional to 2,506.78 and 5,074.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.78 : 5,074.41 = 5,074.41 : x
2. Step 2: Convert to fraction form
   2,506.78/5,074.41 = 5,074.41/x
3. Step 3: Cross multiply
   2,506.78x = 5,074.41 × 5,074.41
4. Step 4: Simplify right side
   2,506.78x = 25,749,598.79
5. Step 5: Solve for x
   x = 25,749,598.79/2,506.78
6. Step 6: Final answer
   x = 10,271.98