Finding the Third Proportional to 19,204 and 25,830

Step by Step Solution

1. Step 1: Write the proportion equation
   19,204 : 25,830 = 25,830 : x
2. Step 2: Convert to fraction form
   19,204/25,830 = 25,830/x
3. Step 3: Cross multiply
   19,204x = 25,830 × 25,830
4. Step 4: Simplify right side
   19,204x = 667,188,900
5. Step 5: Solve for x
   x = 667,188,900/19,204
6. Step 6: Final answer
   x = 34,742.18