Finding the Third Proportional to 4,645,567,842 and 7,101,661,848

Step by Step Solution

1. Step 1: Write the proportion equation
   4,645,567,842 : 7,101,661,848 = 7,101,661,848 : x
2. Step 2: Convert to fraction form
   4,645,567,842/7,101,661,848 = 7,101,661,848/x
3. Step 3: Cross multiply
   4,645,567,842x = 7,101,661,848 × 7,101,661,848
4. Step 4: Simplify right side
   4,645,567,842x = 50,433,601,003,338,776,576
5. Step 5: Solve for x
   x = 50,433,601,003,338,776,576/4,645,567,842
6. Step 6: Final answer
   x = 10,856,283,390.67