Finding the Third Proportional to 2,082.38 and 2,234.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.38 : 2,234.25 = 2,234.25 : x
2. Step 2: Convert to fraction form
   2,082.38/2,234.25 = 2,234.25/x
3. Step 3: Cross multiply
   2,082.38x = 2,234.25 × 2,234.25
4. Step 4: Simplify right side
   2,082.38x = 4,991,873.06
5. Step 5: Solve for x
   x = 4,991,873.06/2,082.38
6. Step 6: Final answer
   x = 2,397.20