Finding the Third Proportional to 4,741,646 and 6,775,708

Step by Step Solution

1. Step 1: Write the proportion equation
   4,741,646 : 6,775,708 = 6,775,708 : x
2. Step 2: Convert to fraction form
   4,741,646/6,775,708 = 6,775,708/x
3. Step 3: Cross multiply
   4,741,646x = 6,775,708 × 6,775,708
4. Step 4: Simplify right side
   4,741,646x = 45,910,218,901,264
5. Step 5: Solve for x
   x = 45,910,218,901,264/4,741,646
6. Step 6: Final answer
   x = 9,682,337.93