Finding the Third Proportional to 11,684 and 25,636

Step by Step Solution

1. Step 1: Write the proportion equation
   11,684 : 25,636 = 25,636 : x
2. Step 2: Convert to fraction form
   11,684/25,636 = 25,636/x
3. Step 3: Cross multiply
   11,684x = 25,636 × 25,636
4. Step 4: Simplify right side
   11,684x = 657,204,496
5. Step 5: Solve for x
   x = 657,204,496/11,684
6. Step 6: Final answer
   x = 56,248.25