Finding the Third Proportional to 31,836,933,720 and 68,146,199,496

Step by Step Solution

1. Step 1: Write the proportion equation
   31,836,933,720 : 68,146,199,496 = 68,146,199,496 : x
2. Step 2: Convert to fraction form
   31,836,933,720/68,146,199,496 = 68,146,199,496/x
3. Step 3: Cross multiply
   31,836,933,720x = 68,146,199,496 × 68,146,199,496
4. Step 4: Simplify right side
   31,836,933,720x = 4,643,904,505,748,630,536,192
5. Step 5: Solve for x
   x = 4,643,904,505,748,630,536,192/31,836,933,720
6. Step 6: Final answer
   x = 145,865,319,398.88