Finding the Third Proportional to 2,584,416 and 5,682,264

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584,416 : 5,682,264 = 5,682,264 : x
2. Step 2: Convert to fraction form
   2,584,416/5,682,264 = 5,682,264/x
3. Step 3: Cross multiply
   2,584,416x = 5,682,264 × 5,682,264
4. Step 4: Simplify right side
   2,584,416x = 32,288,124,165,696
5. Step 5: Solve for x
   x = 32,288,124,165,696/2,584,416
6. Step 6: Final answer
   x = 12,493,392.77