Finding the Third Proportional to 12,643,014,064,338 and 20,117,520,792,424

Step by Step Solution

1. Step 1: Write the proportion equation
   12,643,014,064,338 : 20,117,520,792,424 = 20,117,520,792,424 : x
2. Step 2: Convert to fraction form
   12,643,014,064,338/20,117,520,792,424 = 20,117,520,792,424/x
3. Step 3: Cross multiply
   12,643,014,064,338x = 20,117,520,792,424 × 20,117,520,792,424
4. Step 4: Simplify right side
   12,643,014,064,338x = 404,714,642,833,611,942,898,171,904
5. Step 5: Solve for x
   x = 404,714,642,833,611,942,898,171,904/12,643,014,064,338
6. Step 6: Final answer
   x = 32,010,930,366,294.99