Finding the Third Proportional to 11,814 and 25,596

Step by Step Solution

1. Step 1: Write the proportion equation
   11,814 : 25,596 = 25,596 : x
2. Step 2: Convert to fraction form
   11,814/25,596 = 25,596/x
3. Step 3: Cross multiply
   11,814x = 25,596 × 25,596
4. Step 4: Simplify right side
   11,814x = 655,155,216
5. Step 5: Solve for x
   x = 655,155,216/11,814
6. Step 6: Final answer
   x = 55,455.83