Finding the Third Proportional to 3,686,684 and 5,642,290

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686,684 : 5,642,290 = 5,642,290 : x
2. Step 2: Convert to fraction form
   3,686,684/5,642,290 = 5,642,290/x
3. Step 3: Cross multiply
   3,686,684x = 5,642,290 × 5,642,290
4. Step 4: Simplify right side
   3,686,684x = 31,835,436,444,100
5. Step 5: Solve for x
   x = 31,835,436,444,100/3,686,684
6. Step 6: Final answer
   x = 8,635,249.57