Finding the Third Proportional to 1,686,678 and 3,614,412

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686,678 : 3,614,412 = 3,614,412 : x
2. Step 2: Convert to fraction form
   1,686,678/3,614,412 = 3,614,412/x
3. Step 3: Cross multiply
   1,686,678x = 3,614,412 × 3,614,412
4. Step 4: Simplify right side
   1,686,678x = 13,063,974,105,744
5. Step 5: Solve for x
   x = 13,063,974,105,744/1,686,678
6. Step 6: Final answer
   x = 7,745,387.15