Finding the Third Proportional to 1,642,609,907,117 and 2,414,709,431,605

Step by Step Solution

1. Step 1: Write the proportion equation
   1,642,609,907,117 : 2,414,709,431,605 = 2,414,709,431,605 : x
2. Step 2: Convert to fraction form
   1,642,609,907,117/2,414,709,431,605 = 2,414,709,431,605/x
3. Step 3: Cross multiply
   1,642,609,907,117x = 2,414,709,431,605 × 2,414,709,431,605
4. Step 4: Simplify right side
   1,642,609,907,117x = 5,830,821,639,082,142,072,832,000
5. Step 5: Solve for x
   x = 5,830,821,639,082,142,072,832,000/1,642,609,907,117
6. Step 6: Final answer
   x = 3,549,729,983,862.09