Finding the Third Proportional to 2,590,964,676 and 5,641,957,512

Step by Step Solution

1. Step 1: Write the proportion equation
   2,590,964,676 : 5,641,957,512 = 5,641,957,512 : x
2. Step 2: Convert to fraction form
   2,590,964,676/5,641,957,512 = 5,641,957,512/x
3. Step 3: Cross multiply
   2,590,964,676x = 5,641,957,512 × 5,641,957,512
4. Step 4: Simplify right side
   2,590,964,676x = 31,831,684,567,213,232,128
5. Step 5: Solve for x
   x = 31,831,684,567,213,232,128/2,590,964,676
6. Step 6: Final answer
   x = 12,285,649,766.69