Finding the Third Proportional to 2,595,729,233,782 and 3,815,837,123,632

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595,729,233,782 : 3,815,837,123,632 = 3,815,837,123,632 : x
2. Step 2: Convert to fraction form
   2,595,729,233,782/3,815,837,123,632 = 3,815,837,123,632/x
3. Step 3: Cross multiply
   2,595,729,233,782x = 3,815,837,123,632 × 3,815,837,123,632
4. Step 4: Simplify right side
   2,595,729,233,782x = 14,560,612,954,088,134,829,670,400
5. Step 5: Solve for x
   x = 14,560,612,954,088,134,829,670,400/2,595,729,233,782
6. Step 6: Final answer
   x = 5,609,449,847,306.76