Finding the Third Proportional to 2,564,769 and 4,002,429

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564,769 : 4,002,429 = 4,002,429 : x
2. Step 2: Convert to fraction form
   2,564,769/4,002,429 = 4,002,429/x
3. Step 3: Cross multiply
   2,564,769x = 4,002,429 × 4,002,429
4. Step 4: Simplify right side
   2,564,769x = 16,019,437,900,041
5. Step 5: Solve for x
   x = 16,019,437,900,041/2,564,769
6. Step 6: Final answer
   x = 6,245,957.39