Finding the Third Proportional to 12,256 and 16,296

Step by Step Solution

1. Step 1: Write the proportion equation
   12,256 : 16,296 = 16,296 : x
2. Step 2: Convert to fraction form
   12,256/16,296 = 16,296/x
3. Step 3: Cross multiply
   12,256x = 16,296 × 16,296
4. Step 4: Simplify right side
   12,256x = 265,559,616
5. Step 5: Solve for x
   x = 265,559,616/12,256
6. Step 6: Final answer
   x = 21,667.72