Finding the Third Proportional to 3,082 and 4,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,082 : 4,514.50 = 4,514.50 : x
2. Step 2: Convert to fraction form
   3,082/4,514.50 = 4,514.50/x
3. Step 3: Cross multiply
   3,082x = 4,514.50 × 4,514.50
4. Step 4: Simplify right side
   3,082x = 20,380,710.25
5. Step 5: Solve for x
   x = 20,380,710.25/3,082
6. Step 6: Final answer
   x = 6,612.82