Finding the Third Proportional to 2,082.38 and 4,525.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.38 : 4,525.88 = 4,525.88 : x
2. Step 2: Convert to fraction form
   2,082.38/4,525.88 = 4,525.88/x
3. Step 3: Cross multiply
   2,082.38x = 4,525.88 × 4,525.88
4. Step 4: Simplify right side
   2,082.38x = 20,483,544.52
5. Step 5: Solve for x
   x = 20,483,544.52/2,082.38
6. Step 6: Final answer
   x = 9,836.63