Finding the Third Proportional to 10,256 and 13,107

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256 : 13,107 = 13,107 : x
2. Step 2: Convert to fraction form
   10,256/13,107 = 13,107/x
3. Step 3: Cross multiply
   10,256x = 13,107 × 13,107
4. Step 4: Simplify right side
   10,256x = 171,793,449
5. Step 5: Solve for x
   x = 171,793,449/10,256
6. Step 6: Final answer
   x = 16,750.53