Finding the Third Proportional to 10,204 and 19,148

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204 : 19,148 = 19,148 : x
2. Step 2: Convert to fraction form
   10,204/19,148 = 19,148/x
3. Step 3: Cross multiply
   10,204x = 19,148 × 19,148
4. Step 4: Simplify right side
   10,204x = 366,645,904
5. Step 5: Solve for x
   x = 366,645,904/10,204
6. Step 6: Final answer
   x = 35,931.59