Finding the Third Proportional to 25,206 and 55,325

Step by Step Solution

1. Step 1: Write the proportion equation
   25,206 : 55,325 = 55,325 : x
2. Step 2: Convert to fraction form
   25,206/55,325 = 55,325/x
3. Step 3: Cross multiply
   25,206x = 55,325 × 55,325
4. Step 4: Simplify right side
   25,206x = 3,060,855,625
5. Step 5: Solve for x
   x = 3,060,855,625/25,206
6. Step 6: Final answer
   x = 121,433.61