Finding the Third Proportional to 3,831,414 and 5,578,641

Step by Step Solution

1. Step 1: Write the proportion equation
   3,831,414 : 5,578,641 = 5,578,641 : x
2. Step 2: Convert to fraction form
   3,831,414/5,578,641 = 5,578,641/x
3. Step 3: Cross multiply
   3,831,414x = 5,578,641 × 5,578,641
4. Step 4: Simplify right side
   3,831,414x = 31,121,235,406,881
5. Step 5: Solve for x
   x = 31,121,235,406,881/3,831,414
6. Step 6: Final answer
   x = 8,122,650.13