Finding the Third Proportional to 2,141,824 and 4,461,216

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141,824 : 4,461,216 = 4,461,216 : x
2. Step 2: Convert to fraction form
   2,141,824/4,461,216 = 4,461,216/x
3. Step 3: Cross multiply
   2,141,824x = 4,461,216 × 4,461,216
4. Step 4: Simplify right side
   2,141,824x = 19,902,448,198,656
5. Step 5: Solve for x
   x = 19,902,448,198,656/2,141,824
6. Step 6: Final answer
   x = 9,292,289.28