Finding the Third Proportional to 3,676,447,111,740 and 8,045,456,270,674

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676,447,111,740 : 8,045,456,270,674 = 8,045,456,270,674 : x
2. Step 2: Convert to fraction form
   3,676,447,111,740/8,045,456,270,674 = 8,045,456,270,674/x
3. Step 3: Cross multiply
   3,676,447,111,740x = 8,045,456,270,674 × 8,045,456,270,674
4. Step 4: Simplify right side
   3,676,447,111,740x = 64,729,366,603,327,591,547,928,576
5. Step 5: Solve for x
   x = 64,729,366,603,327,591,547,928,576/3,676,447,111,740
6. Step 6: Final answer
   x = 17,606,500,144,290.74