Finding the Third Proportional to 2,596,120,578 and 5,585,891,382

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596,120,578 : 5,585,891,382 = 5,585,891,382 : x
2. Step 2: Convert to fraction form
   2,596,120,578/5,585,891,382 = 5,585,891,382/x
3. Step 3: Cross multiply
   2,596,120,578x = 5,585,891,382 × 5,585,891,382
4. Step 4: Simplify right side
   2,596,120,578x = 31,202,182,531,501,871,104
5. Step 5: Solve for x
   x = 31,202,182,531,501,871,104/2,596,120,578
6. Step 6: Final answer
   x = 12,018,772,469.94