Finding the Third Proportional to 2,584,419 and 5,682,270

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584,419 : 5,682,270 = 5,682,270 : x
2. Step 2: Convert to fraction form
   2,584,419/5,682,270 = 5,682,270/x
3. Step 3: Cross multiply
   2,584,419x = 5,682,270 × 5,682,270
4. Step 4: Simplify right side
   2,584,419x = 32,288,192,352,900
5. Step 5: Solve for x
   x = 32,288,192,352,900/2,584,419
6. Step 6: Final answer
   x = 12,493,404.65