Finding the Third Proportional to 25,204 and 41,500

Step by Step Solution

1. Step 1: Write the proportion equation
   25,204 : 41,500 = 41,500 : x
2. Step 2: Convert to fraction form
   25,204/41,500 = 41,500/x
3. Step 3: Cross multiply
   25,204x = 41,500 × 41,500
4. Step 4: Simplify right side
   25,204x = 1,722,250,000
5. Step 5: Solve for x
   x = 1,722,250,000/25,204
6. Step 6: Final answer
   x = 68,332.41