Finding the Third Proportional to 1,538,209,917,544 and 2,261,236,815,636

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538,209,917,544 : 2,261,236,815,636 = 2,261,236,815,636 : x
2. Step 2: Convert to fraction form
   1,538,209,917,544/2,261,236,815,636 = 2,261,236,815,636/x
3. Step 3: Cross multiply
   1,538,209,917,544x = 2,261,236,815,636 × 2,261,236,815,636
4. Step 4: Simplify right side
   1,538,209,917,544x = 5,113,191,936,387,637,928,001,536
5. Step 5: Solve for x
   x = 5,113,191,936,387,637,928,001,536/1,538,209,917,544
6. Step 6: Final answer
   x = 3,324,118,430,176.08