Finding the Third Proportional to 34,701,718,429 and 75,564,014,568

Step by Step Solution

1. Step 1: Write the proportion equation
   34,701,718,429 : 75,564,014,568 = 75,564,014,568 : x
2. Step 2: Convert to fraction form
   34,701,718,429/75,564,014,568 = 75,564,014,568/x
3. Step 3: Cross multiply
   34,701,718,429x = 75,564,014,568 × 75,564,014,568
4. Step 4: Simplify right side
   34,701,718,429x = 5,709,920,297,632,916,307,968
5. Step 5: Solve for x
   x = 5,709,920,297,632,916,307,968/34,701,718,429
6. Step 6: Final answer
   x = 164,542,868,656.94