Finding the Third Proportional to 16,082 and 38,741

Step by Step Solution

1. Step 1: Write the proportion equation
   16,082 : 38,741 = 38,741 : x
2. Step 2: Convert to fraction form
   16,082/38,741 = 38,741/x
3. Step 3: Cross multiply
   16,082x = 38,741 × 38,741
4. Step 4: Simplify right side
   16,082x = 1,500,865,081
5. Step 5: Solve for x
   x = 1,500,865,081/16,082
6. Step 6: Final answer
   x = 93,325.77