Finding the Third Proportional to 12,256 and 19,416

Step by Step Solution

1. Step 1: Write the proportion equation
   12,256 : 19,416 = 19,416 : x
2. Step 2: Convert to fraction form
   12,256/19,416 = 19,416/x
3. Step 3: Cross multiply
   12,256x = 19,416 × 19,416
4. Step 4: Simplify right side
   12,256x = 376,981,056
5. Step 5: Solve for x
   x = 376,981,056/12,256
6. Step 6: Final answer
   x = 30,758.90