Finding the Third Proportional to 2,448,000 and 3,799,872

Step by Step Solution

1. Step 1: Write the proportion equation
   2,448,000 : 3,799,872 = 3,799,872 : x
2. Step 2: Convert to fraction form
   2,448,000/3,799,872 = 3,799,872/x
3. Step 3: Cross multiply
   2,448,000x = 3,799,872 × 3,799,872
4. Step 4: Simplify right side
   2,448,000x = 14,439,027,216,384
5. Step 5: Solve for x
   x = 14,439,027,216,384/2,448,000
6. Step 6: Final answer
   x = 5,898,295.43