Finding the Third Proportional to 10,204 and 19,484

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204 : 19,484 = 19,484 : x
2. Step 2: Convert to fraction form
   10,204/19,484 = 19,484/x
3. Step 3: Cross multiply
   10,204x = 19,484 × 19,484
4. Step 4: Simplify right side
   10,204x = 379,626,256
5. Step 5: Solve for x
   x = 379,626,256/10,204
6. Step 6: Final answer
   x = 37,203.67