Finding the Third Proportional to 10,256 and 19,460

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256 : 19,460 = 19,460 : x
2. Step 2: Convert to fraction form
   10,256/19,460 = 19,460/x
3. Step 3: Cross multiply
   10,256x = 19,460 × 19,460
4. Step 4: Simplify right side
   10,256x = 378,691,600
5. Step 5: Solve for x
   x = 378,691,600/10,256
6. Step 6: Final answer
   x = 36,923.91