Finding the Third Proportional to 12,802 and 17,259

Step by Step Solution

1. Step 1: Write the proportion equation
   12,802 : 17,259 = 17,259 : x
2. Step 2: Convert to fraction form
   12,802/17,259 = 17,259/x
3. Step 3: Cross multiply
   12,802x = 17,259 × 17,259
4. Step 4: Simplify right side
   12,802x = 297,873,081
5. Step 5: Solve for x
   x = 297,873,081/12,802
6. Step 6: Final answer
   x = 23,267.70