Finding the Third Proportional to 2,595,729,233,780 and 3,815,837,123,629

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595,729,233,780 : 3,815,837,123,629 = 3,815,837,123,629 : x
2. Step 2: Convert to fraction form
   2,595,729,233,780/3,815,837,123,629 = 3,815,837,123,629/x
3. Step 3: Cross multiply
   2,595,729,233,780x = 3,815,837,123,629 × 3,815,837,123,629
4. Step 4: Simplify right side
   2,595,729,233,780x = 14,560,612,954,065,240,506,499,072
5. Step 5: Solve for x
   x = 14,560,612,954,065,240,506,499,072/2,595,729,233,780
6. Step 6: Final answer
   x = 5,609,449,847,302.26