Finding the Third Proportional to 5,375,498,840 and 8,414,123,857

Step by Step Solution

1. Step 1: Write the proportion equation
   5,375,498,840 : 8,414,123,857 = 8,414,123,857 : x
2. Step 2: Convert to fraction form
   5,375,498,840/8,414,123,857 = 8,414,123,857/x
3. Step 3: Cross multiply
   5,375,498,840x = 8,414,123,857 × 8,414,123,857
4. Step 4: Simplify right side
   5,375,498,840x = 70,797,480,280,936,554,496
5. Step 5: Solve for x
   x = 70,797,480,280,936,554,496/5,375,498,840
6. Step 6: Final answer
   x = 13,170,401,927.00