Finding the Third Proportional to 2,290 and 5,223

Step by Step Solution

1. Step 1: Write the proportion equation
   2,290 : 5,223 = 5,223 : x
2. Step 2: Convert to fraction form
   2,290/5,223 = 5,223/x
3. Step 3: Cross multiply
   2,290x = 5,223 × 5,223
4. Step 4: Simplify right side
   2,290x = 27,279,729
5. Step 5: Solve for x
   x = 27,279,729/2,290
6. Step 6: Final answer
   x = 11,912.55