Finding the Third Proportional to 3,686,686 and 5,642,294

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686,686 : 5,642,294 = 5,642,294 : x
2. Step 2: Convert to fraction form
   3,686,686/5,642,294 = 5,642,294/x
3. Step 3: Cross multiply
   3,686,686x = 5,642,294 × 5,642,294
4. Step 4: Simplify right side
   3,686,686x = 31,835,481,582,436
5. Step 5: Solve for x
   x = 31,835,481,582,436/3,686,686
6. Step 6: Final answer
   x = 8,635,257.13