Finding the Third Proportional to 11,805.38 and 25,687.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,805.38 : 25,687.69 = 25,687.69 : x
2. Step 2: Convert to fraction form
   11,805.38/25,687.69 = 25,687.69/x
3. Step 3: Cross multiply
   11,805.38x = 25,687.69 × 25,687.69
4. Step 4: Simplify right side
   11,805.38x = 659,857,289.10
5. Step 5: Solve for x
   x = 659,857,289.10/11,805.38
6. Step 6: Final answer
   x = 55,894.65