Finding the Third Proportional to 31,872 and 70,098

Step by Step Solution

1. Step 1: Write the proportion equation
   31,872 : 70,098 = 70,098 : x
2. Step 2: Convert to fraction form
   31,872/70,098 = 70,098/x
3. Step 3: Cross multiply
   31,872x = 70,098 × 70,098
4. Step 4: Simplify right side
   31,872x = 4,913,729,604
5. Step 5: Solve for x
   x = 4,913,729,604/31,872
6. Step 6: Final answer
   x = 154,170.73