Finding the Third Proportional to 2,556,860,624,964 and 5,563,831,718,688

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556,860,624,964 : 5,563,831,718,688 = 5,563,831,718,688 : x
2. Step 2: Convert to fraction form
   2,556,860,624,964/5,563,831,718,688 = 5,563,831,718,688/x
3. Step 3: Cross multiply
   2,556,860,624,964x = 5,563,831,718,688 × 5,563,831,718,688
4. Step 4: Simplify right side
   2,556,860,624,964x = 30,956,223,393,878,664,403,746,816
5. Step 5: Solve for x
   x = 30,956,223,393,878,664,403,746,816/2,556,860,624,964
6. Step 6: Final answer
   x = 12,107,121,949,329.77