Finding the Third Proportional to 25,826 and 55,177

Step by Step Solution

1. Step 1: Write the proportion equation
   25,826 : 55,177 = 55,177 : x
2. Step 2: Convert to fraction form
   25,826/55,177 = 55,177/x
3. Step 3: Cross multiply
   25,826x = 55,177 × 55,177
4. Step 4: Simplify right side
   25,826x = 3,044,501,329
5. Step 5: Solve for x
   x = 3,044,501,329/25,826
6. Step 6: Final answer
   x = 117,885.13