Finding the Third Proportional to 2,575,414,776 and 5,578,681,648

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575,414,776 : 5,578,681,648 = 5,578,681,648 : x
2. Step 2: Convert to fraction form
   2,575,414,776/5,578,681,648 = 5,578,681,648/x
3. Step 3: Cross multiply
   2,575,414,776x = 5,578,681,648 × 5,578,681,648
4. Step 4: Simplify right side
   2,575,414,776x = 31,121,688,929,731,997,696
5. Step 5: Solve for x
   x = 31,121,688,929,731,997,696/2,575,414,776
6. Step 6: Final answer
   x = 12,084,146,297.42