Finding the Third Proportional to 8,177,507,793 and 17,787,792,834

Step by Step Solution

1. Step 1: Write the proportion equation
   8,177,507,793 : 17,787,792,834 = 17,787,792,834 : x
2. Step 2: Convert to fraction form
   8,177,507,793/17,787,792,834 = 17,787,792,834/x
3. Step 3: Cross multiply
   8,177,507,793x = 17,787,792,834 × 17,787,792,834
4. Step 4: Simplify right side
   8,177,507,793x = 316,405,573,905,301,766,144
5. Step 5: Solve for x
   x = 316,405,573,905,301,766,144/8,177,507,793
6. Step 6: Final answer
   x = 38,692,176,383.63