Finding the Third Proportional to 3,686,682 and 5,642,288

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686,682 : 5,642,288 = 5,642,288 : x
2. Step 2: Convert to fraction form
   3,686,682/5,642,288 = 5,642,288/x
3. Step 3: Cross multiply
   3,686,682x = 5,642,288 × 5,642,288
4. Step 4: Simplify right side
   3,686,682x = 31,835,413,874,944
5. Step 5: Solve for x
   x = 31,835,413,874,944/3,686,682
6. Step 6: Final answer
   x = 8,635,248.14