Finding the Third Proportional to 2,595,729,235,856 and 3,815,837,126,386

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595,729,235,856 : 3,815,837,126,386 = 3,815,837,126,386 : x
2. Step 2: Convert to fraction form
   2,595,729,235,856/3,815,837,126,386 = 3,815,837,126,386/x
3. Step 3: Cross multiply
   2,595,729,235,856x = 3,815,837,126,386 × 3,815,837,126,386
4. Step 4: Simplify right side
   2,595,729,235,856x = 14,560,612,975,105,765,598,560,256
5. Step 5: Solve for x
   x = 14,560,612,975,105,765,598,560,256/2,595,729,235,856
6. Step 6: Final answer
   x = 5,609,449,850,921.79