Finding the Third Proportional to 1,686,676 and 3,614,408

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686,676 : 3,614,408 = 3,614,408 : x
2. Step 2: Convert to fraction form
   1,686,676/3,614,408 = 3,614,408/x
3. Step 3: Cross multiply
   1,686,676x = 3,614,408 × 3,614,408
4. Step 4: Simplify right side
   1,686,676x = 13,063,945,190,464
5. Step 5: Solve for x
   x = 13,063,945,190,464/1,686,676
6. Step 6: Final answer
   x = 7,745,379.19