Finding the Third Proportional to 1,686,676 and 3,614,407

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686,676 : 3,614,407 = 3,614,407 : x
2. Step 2: Convert to fraction form
   1,686,676/3,614,407 = 3,614,407/x
3. Step 3: Cross multiply
   1,686,676x = 3,614,407 × 3,614,407
4. Step 4: Simplify right side
   1,686,676x = 13,063,937,961,649
5. Step 5: Solve for x
   x = 13,063,937,961,649/1,686,676
6. Step 6: Final answer
   x = 7,745,374.90