Finding the Third Proportional to 2,595,729,236,120 and 3,815,837,126,768

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595,729,236,120 : 3,815,837,126,768 = 3,815,837,126,768 : x
2. Step 2: Convert to fraction form
   2,595,729,236,120/3,815,837,126,768 = 3,815,837,126,768/x
3. Step 3: Cross multiply
   2,595,729,236,120x = 3,815,837,126,768 × 3,815,837,126,768
4. Step 4: Simplify right side
   2,595,729,236,120x = 14,560,612,978,021,064,845,033,472
5. Step 5: Solve for x
   x = 14,560,612,978,021,064,845,033,472/2,595,729,236,120
6. Step 6: Final answer
   x = 5,609,449,851,474.39