Finding the Third Proportional to 3,469.50 and 5,082.19

Step by Step Solution

1. Step 1: Write the proportion equation
   3,469.50 : 5,082.19 = 5,082.19 : x
2. Step 2: Convert to fraction form
   3,469.50/5,082.19 = 5,082.19/x
3. Step 3: Cross multiply
   3,469.50x = 5,082.19 × 5,082.19
4. Step 4: Simplify right side
   3,469.50x = 25,828,629.79
5. Step 5: Solve for x
   x = 25,828,629.79/3,469.50
6. Step 6: Final answer
   x = 7,444.48