Finding the Third Proportional to 31,877,608,789 and 69,760,260,314

Step by Step Solution

1. Step 1: Write the proportion equation
   31,877,608,789 : 69,760,260,314 = 69,760,260,314 : x
2. Step 2: Convert to fraction form
   31,877,608,789/69,760,260,314 = 69,760,260,314/x
3. Step 3: Cross multiply
   31,877,608,789x = 69,760,260,314 × 69,760,260,314
4. Step 4: Simplify right side
   31,877,608,789x = 4,866,493,919,077,043,535,872
5. Step 5: Solve for x
   x = 4,866,493,919,077,043,535,872/31,877,608,789
6. Step 6: Final answer
   x = 152,661,824,520.42