Finding the Third Proportional to 10,204 and 18,920

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204 : 18,920 = 18,920 : x
2. Step 2: Convert to fraction form
   10,204/18,920 = 18,920/x
3. Step 3: Cross multiply
   10,204x = 18,920 × 18,920
4. Step 4: Simplify right side
   10,204x = 357,966,400
5. Step 5: Solve for x
   x = 357,966,400/10,204
6. Step 6: Final answer
   x = 35,080.99