Finding the Third Proportional to 3,675,164,702 and 5,648,992,101

Step by Step Solution

1. Step 1: Write the proportion equation
   3,675,164,702 : 5,648,992,101 = 5,648,992,101 : x
2. Step 2: Convert to fraction form
   3,675,164,702/5,648,992,101 = 5,648,992,101/x
3. Step 3: Cross multiply
   3,675,164,702x = 5,648,992,101 × 5,648,992,101
4. Step 4: Simplify right side
   3,675,164,702x = 31,911,111,757,160,394,752
5. Step 5: Solve for x
   x = 31,911,111,757,160,394,752/3,675,164,702
6. Step 6: Final answer
   x = 8,682,906,575.53