Finding the Third Proportional to 2,556,860,624,960 and 5,563,831,718,680

Step by Step Solution

1. Step 1: Write the proportion equation
   2,556,860,624,960 : 5,563,831,718,680 = 5,563,831,718,680 : x
2. Step 2: Convert to fraction form
   2,556,860,624,960/5,563,831,718,680 = 5,563,831,718,680/x
3. Step 3: Cross multiply
   2,556,860,624,960x = 5,563,831,718,680 × 5,563,831,718,680
4. Step 4: Simplify right side
   2,556,860,624,960x = 30,956,223,393,789,642,616,602,624
5. Step 5: Solve for x
   x = 30,956,223,393,789,642,616,602,624/2,556,860,624,960
6. Step 6: Final answer
   x = 12,107,121,949,313.89