Finding the Third Proportional to 5,025.38 and 10,825.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,025.38 : 10,825.31 = 10,825.31 : x
2. Step 2: Convert to fraction form
   5,025.38/10,825.31 = 10,825.31/x
3. Step 3: Cross multiply
   5,025.38x = 10,825.31 × 10,825.31
4. Step 4: Simplify right side
   5,025.38x = 117,187,390.72
5. Step 5: Solve for x
   x = 117,187,390.72/5,025.38
6. Step 6: Final answer
   x = 23,319.13