Finding the Third Proportional to 727,637 and 1,582,684

Step by Step Solution

1. Step 1: Write the proportion equation
   727,637 : 1,582,684 = 1,582,684 : x
2. Step 2: Convert to fraction form
   727,637/1,582,684 = 1,582,684/x
3. Step 3: Cross multiply
   727,637x = 1,582,684 × 1,582,684
4. Step 4: Simplify right side
   727,637x = 2,504,888,643,856
5. Step 5: Solve for x
   x = 2,504,888,643,856/727,637
6. Step 6: Final answer
   x = 3,442,497.62