Finding the Third Proportional to 12,896 and 17,314

Step by Step Solution

1. Step 1: Write the proportion equation
   12,896 : 17,314 = 17,314 : x
2. Step 2: Convert to fraction form
   12,896/17,314 = 17,314/x
3. Step 3: Cross multiply
   12,896x = 17,314 × 17,314
4. Step 4: Simplify right side
   12,896x = 299,774,596
5. Step 5: Solve for x
   x = 299,774,596/12,896
6. Step 6: Final answer
   x = 23,245.55