Finding the Third Proportional to 2,163,414 and 4,616,388

Step by Step Solution

1. Step 1: Write the proportion equation
   2,163,414 : 4,616,388 = 4,616,388 : x
2. Step 2: Convert to fraction form
   2,163,414/4,616,388 = 4,616,388/x
3. Step 3: Cross multiply
   2,163,414x = 4,616,388 × 4,616,388
4. Step 4: Simplify right side
   2,163,414x = 21,311,038,166,544
5. Step 5: Solve for x
   x = 21,311,038,166,544/2,163,414
6. Step 6: Final answer
   x = 9,850,651.87