Finding the Third Proportional to 11,530 and 25,268

Step by Step Solution

1. Step 1: Write the proportion equation
   11,530 : 25,268 = 25,268 : x
2. Step 2: Convert to fraction form
   11,530/25,268 = 25,268/x
3. Step 3: Cross multiply
   11,530x = 25,268 × 25,268
4. Step 4: Simplify right side
   11,530x = 638,471,824
5. Step 5: Solve for x
   x = 638,471,824/11,530
6. Step 6: Final answer
   x = 55,374.83