Finding the Third Proportional to 11,649,974,589 and 25,674,585,030

Step by Step Solution

1. Step 1: Write the proportion equation
   11,649,974,589 : 25,674,585,030 = 25,674,585,030 : x
2. Step 2: Convert to fraction form
   11,649,974,589/25,674,585,030 = 25,674,585,030/x
3. Step 3: Cross multiply
   11,649,974,589x = 25,674,585,030 × 25,674,585,030
4. Step 4: Simplify right side
   11,649,974,589x = 659,184,316,462,700,036,096
5. Step 5: Solve for x
   x = 659,184,316,462,700,036,096/11,649,974,589
6. Step 6: Final answer
   x = 56,582,468,178.52