Finding the Third Proportional to 31,189.50 and 41,193

Step by Step Solution

1. Step 1: Write the proportion equation
   31,189.50 : 41,193 = 41,193 : x
2. Step 2: Convert to fraction form
   31,189.50/41,193 = 41,193/x
3. Step 3: Cross multiply
   31,189.50x = 41,193 × 41,193
4. Step 4: Simplify right side
   31,189.50x = 1,696,863,249
5. Step 5: Solve for x
   x = 1,696,863,249/31,189.50
6. Step 6: Final answer
   x = 54,404.95