Finding the Third Proportional to 31,734 and 67,843

Step by Step Solution

1. Step 1: Write the proportion equation
   31,734 : 67,843 = 67,843 : x
2. Step 2: Convert to fraction form
   31,734/67,843 = 67,843/x
3. Step 3: Cross multiply
   31,734x = 67,843 × 67,843
4. Step 4: Simplify right side
   31,734x = 4,602,672,649
5. Step 5: Solve for x
   x = 4,602,672,649/31,734
6. Step 6: Final answer
   x = 145,039.16