Finding the Third Proportional to 11,596 and 25,036

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596 : 25,036 = 25,036 : x
2. Step 2: Convert to fraction form
   11,596/25,036 = 25,036/x
3. Step 3: Cross multiply
   11,596x = 25,036 × 25,036
4. Step 4: Simplify right side
   11,596x = 626,801,296
5. Step 5: Solve for x
   x = 626,801,296/11,596
6. Step 6: Final answer
   x = 54,053.23