Finding the Third Proportional to 31,877,608,794 and 69,760,260,322

Step by Step Solution

1. Step 1: Write the proportion equation
   31,877,608,794 : 69,760,260,322 = 69,760,260,322 : x
2. Step 2: Convert to fraction form
   31,877,608,794/69,760,260,322 = 69,760,260,322/x
3. Step 3: Cross multiply
   31,877,608,794x = 69,760,260,322 × 69,760,260,322
4. Step 4: Simplify right side
   31,877,608,794x = 4,866,493,920,193,207,599,104
5. Step 5: Solve for x
   x = 4,866,493,920,193,207,599,104/31,877,608,794
6. Step 6: Final answer
   x = 152,661,824,531.49