Finding the Third Proportional to 25,124 and 54,204

Step by Step Solution

1. Step 1: Write the proportion equation
   25,124 : 54,204 = 54,204 : x
2. Step 2: Convert to fraction form
   25,124/54,204 = 54,204/x
3. Step 3: Cross multiply
   25,124x = 54,204 × 54,204
4. Step 4: Simplify right side
   25,124x = 2,938,073,616
5. Step 5: Solve for x
   x = 2,938,073,616/25,124
6. Step 6: Final answer
   x = 116,942.91