Finding the Third Proportional to 3,686,685 and 5,642,295

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686,685 : 5,642,295 = 5,642,295 : x
2. Step 2: Convert to fraction form
   3,686,685/5,642,295 = 5,642,295/x
3. Step 3: Cross multiply
   3,686,685x = 5,642,295 × 5,642,295
4. Step 4: Simplify right side
   3,686,685x = 31,835,492,867,025
5. Step 5: Solve for x
   x = 31,835,492,867,025/3,686,685
6. Step 6: Final answer
   x = 8,635,262.54