Finding the Third Proportional to 31,049,043,920 and 67,538,201,380

Step by Step Solution

1. Step 1: Write the proportion equation
   31,049,043,920 : 67,538,201,380 = 67,538,201,380 : x
2. Step 2: Convert to fraction form
   31,049,043,920/67,538,201,380 = 67,538,201,380/x
3. Step 3: Cross multiply
   31,049,043,920x = 67,538,201,380 × 67,538,201,380
4. Step 4: Simplify right side
   31,049,043,920x = 4,561,408,645,645,434,093,568
5. Step 5: Solve for x
   x = 4,561,408,645,645,434,093,568/31,049,043,920
6. Step 6: Final answer
   x = 146,909,793,982.65