Finding the Third Proportional to 12,205.69 and 25,265.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,205.69 : 25,265.25 = 25,265.25 : x
2. Step 2: Convert to fraction form
   12,205.69/25,265.25 = 25,265.25/x
3. Step 3: Cross multiply
   12,205.69x = 25,265.25 × 25,265.25
4. Step 4: Simplify right side
   12,205.69x = 638,332,857.56
5. Step 5: Solve for x
   x = 638,332,857.56/12,205.69
6. Step 6: Final answer
   x = 52,297.98