Finding the Third Proportional to 2,934.50 and 4,082

Step by Step Solution

1. Step 1: Write the proportion equation
   2,934.50 : 4,082 = 4,082 : x
2. Step 2: Convert to fraction form
   2,934.50/4,082 = 4,082/x
3. Step 3: Cross multiply
   2,934.50x = 4,082 × 4,082
4. Step 4: Simplify right side
   2,934.50x = 16,662,724
5. Step 5: Solve for x
   x = 16,662,724/2,934.50
6. Step 6: Final answer
   x = 5,678.22