Finding the Third Proportional to 3,676.50 and 8,082

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676.50 : 8,082 = 8,082 : x
2. Step 2: Convert to fraction form
   3,676.50/8,082 = 8,082/x
3. Step 3: Cross multiply
   3,676.50x = 8,082 × 8,082
4. Step 4: Simplify right side
   3,676.50x = 65,318,724
5. Step 5: Solve for x
   x = 65,318,724/3,676.50
6. Step 6: Final answer
   x = 17,766.55