Finding the Third Proportional to 3,082 and 5,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,082 : 5,007.50 = 5,007.50 : x
2. Step 2: Convert to fraction form
   3,082/5,007.50 = 5,007.50/x
3. Step 3: Cross multiply
   3,082x = 5,007.50 × 5,007.50
4. Step 4: Simplify right side
   3,082x = 25,075,056.25
5. Step 5: Solve for x
   x = 25,075,056.25/3,082
6. Step 6: Final answer
   x = 8,135.97