Finding the Third Proportional to 3,686,694 and 5,642,306

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686,694 : 5,642,306 = 5,642,306 : x
2. Step 2: Convert to fraction form
   3,686,694/5,642,306 = 5,642,306/x
3. Step 3: Cross multiply
   3,686,694x = 5,642,306 × 5,642,306
4. Step 4: Simplify right side
   3,686,694x = 31,835,616,997,636
5. Step 5: Solve for x
   x = 31,835,616,997,636/3,686,694
6. Step 6: Final answer
   x = 8,635,275.13