Finding the Third Proportional to 1,585,872 and 2,553,496

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585,872 : 2,553,496 = 2,553,496 : x
2. Step 2: Convert to fraction form
   1,585,872/2,553,496 = 2,553,496/x
3. Step 3: Cross multiply
   1,585,872x = 2,553,496 × 2,553,496
4. Step 4: Simplify right side
   1,585,872x = 6,520,341,822,016
5. Step 5: Solve for x
   x = 6,520,341,822,016/1,585,872
6. Step 6: Final answer
   x = 4,111,518.35