Finding the Third Proportional to 2,575,414,664 and 5,578,681,463

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575,414,664 : 5,578,681,463 = 5,578,681,463 : x
2. Step 2: Convert to fraction form
   2,575,414,664/5,578,681,463 = 5,578,681,463/x
3. Step 3: Cross multiply
   2,575,414,664x = 5,578,681,463 × 5,578,681,463
4. Step 4: Simplify right side
   2,575,414,664x = 31,121,686,865,619,820,544
5. Step 5: Solve for x
   x = 31,121,686,865,619,820,544/2,575,414,664
6. Step 6: Final answer
   x = 12,084,146,021.47