Finding the Third Proportional to 2,279.25 and 3,082.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,279.25 : 3,082.69 = 3,082.69 : x
2. Step 2: Convert to fraction form
   2,279.25/3,082.69 = 3,082.69/x
3. Step 3: Cross multiply
   2,279.25x = 3,082.69 × 3,082.69
4. Step 4: Simplify right side
   2,279.25x = 9,502,962.22
5. Step 5: Solve for x
   x = 9,502,962.22/2,279.25
6. Step 6: Final answer
   x = 4,169.34