Finding the Third Proportional to 11,802 and 25,684

Step by Step Solution

1. Step 1: Write the proportion equation
   11,802 : 25,684 = 25,684 : x
2. Step 2: Convert to fraction form
   11,802/25,684 = 25,684/x
3. Step 3: Cross multiply
   11,802x = 25,684 × 25,684
4. Step 4: Simplify right side
   11,802x = 659,667,856
5. Step 5: Solve for x
   x = 659,667,856/11,802
6. Step 6: Final answer
   x = 55,894.58