Finding the Third Proportional to 1,686,639 and 3,642,577

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686,639 : 3,642,577 = 3,642,577 : x
2. Step 2: Convert to fraction form
   1,686,639/3,642,577 = 3,642,577/x
3. Step 3: Cross multiply
   1,686,639x = 3,642,577 × 3,642,577
4. Step 4: Simplify right side
   1,686,639x = 13,268,367,200,929
5. Step 5: Solve for x
   x = 13,268,367,200,929/1,686,639
6. Step 6: Final answer
   x = 7,866,749.91