Finding the Third Proportional to 31,832 and 67,148

Step by Step Solution

1. Step 1: Write the proportion equation
   31,832 : 67,148 = 67,148 : x
2. Step 2: Convert to fraction form
   31,832/67,148 = 67,148/x
3. Step 3: Cross multiply
   31,832x = 67,148 × 67,148
4. Step 4: Simplify right side
   31,832x = 4,508,853,904
5. Step 5: Solve for x
   x = 4,508,853,904/31,832
6. Step 6: Final answer
   x = 141,645.32