Finding the Third Proportional to 2,437,824 and 3,812,256

Step by Step Solution

1. Step 1: Write the proportion equation
   2,437,824 : 3,812,256 = 3,812,256 : x
2. Step 2: Convert to fraction form
   2,437,824/3,812,256 = 3,812,256/x
3. Step 3: Cross multiply
   2,437,824x = 3,812,256 × 3,812,256
4. Step 4: Simplify right side
   2,437,824x = 14,533,295,809,536
5. Step 5: Solve for x
   x = 14,533,295,809,536/2,437,824
6. Step 6: Final answer
   x = 5,961,585.34