Finding the Third Proportional to 31,877,608,806 and 69,760,260,344

Step by Step Solution

1. Step 1: Write the proportion equation
   31,877,608,806 : 69,760,260,344 = 69,760,260,344 : x
2. Step 2: Convert to fraction form
   31,877,608,806/69,760,260,344 = 69,760,260,344/x
3. Step 3: Cross multiply
   31,877,608,806x = 69,760,260,344 × 69,760,260,344
4. Step 4: Simplify right side
   31,877,608,806x = 4,866,493,923,262,659,035,136
5. Step 5: Solve for x
   x = 4,866,493,923,262,659,035,136/31,877,608,806
6. Step 6: Final answer
   x = 152,661,824,570.31