Finding the Third Proportional to 12,205 and 25,841

Step by Step Solution

1. Step 1: Write the proportion equation
   12,205 : 25,841 = 25,841 : x
2. Step 2: Convert to fraction form
   12,205/25,841 = 25,841/x
3. Step 3: Cross multiply
   12,205x = 25,841 × 25,841
4. Step 4: Simplify right side
   12,205x = 667,757,281
5. Step 5: Solve for x
   x = 667,757,281/12,205
6. Step 6: Final answer
   x = 54,711.78