Finding the Third Proportional to 2,292.56 and 5,023.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,292.56 : 5,023.31 = 5,023.31 : x
2. Step 2: Convert to fraction form
   2,292.56/5,023.31 = 5,023.31/x
3. Step 3: Cross multiply
   2,292.56x = 5,023.31 × 5,023.31
4. Step 4: Simplify right side
   2,292.56x = 25,233,668.47
5. Step 5: Solve for x
   x = 25,233,668.47/2,292.56
6. Step 6: Final answer
   x = 11,006.75