Finding the Third Proportional to 42,296,564,864 and 63,989,729,320

Step by Step Solution

1. Step 1: Write the proportion equation
   42,296,564,864 : 63,989,729,320 = 63,989,729,320 : x
2. Step 2: Convert to fraction form
   42,296,564,864/63,989,729,320 = 63,989,729,320/x
3. Step 3: Cross multiply
   42,296,564,864x = 63,989,729,320 × 63,989,729,320
4. Step 4: Simplify right side
   42,296,564,864x = 4,094,685,458,446,867,759,104
5. Step 5: Solve for x
   x = 4,094,685,458,446,867,759,104/42,296,564,864
6. Step 6: Final answer
   x = 96,808,936,413.94