Finding the Third Proportional to 12,896 and 17,399

Step by Step Solution

1. Step 1: Write the proportion equation
   12,896 : 17,399 = 17,399 : x
2. Step 2: Convert to fraction form
   12,896/17,399 = 17,399/x
3. Step 3: Cross multiply
   12,896x = 17,399 × 17,399
4. Step 4: Simplify right side
   12,896x = 302,725,201
5. Step 5: Solve for x
   x = 302,725,201/12,896
6. Step 6: Final answer
   x = 23,474.35