Finding the Third Proportional to 31,823 and 43,198

Step by Step Solution

1. Step 1: Write the proportion equation
   31,823 : 43,198 = 43,198 : x
2. Step 2: Convert to fraction form
   31,823/43,198 = 43,198/x
3. Step 3: Cross multiply
   31,823x = 43,198 × 43,198
4. Step 4: Simplify right side
   31,823x = 1,866,067,204
5. Step 5: Solve for x
   x = 1,866,067,204/31,823
6. Step 6: Final answer
   x = 58,638.95