Finding the Third Proportional to 4,665.25 and 10,082.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,665.25 : 10,082.75 = 10,082.75 : x
2. Step 2: Convert to fraction form
   4,665.25/10,082.75 = 10,082.75/x
3. Step 3: Cross multiply
   4,665.25x = 10,082.75 × 10,082.75
4. Step 4: Simplify right side
   4,665.25x = 101,661,847.56
5. Step 5: Solve for x
   x = 101,661,847.56/4,665.25
6. Step 6: Final answer
   x = 21,791.30