Finding the Third Proportional to 10,894 and 17,259

Step by Step Solution

1. Step 1: Write the proportion equation
   10,894 : 17,259 = 17,259 : x
2. Step 2: Convert to fraction form
   10,894/17,259 = 17,259/x
3. Step 3: Cross multiply
   10,894x = 17,259 × 17,259
4. Step 4: Simplify right side
   10,894x = 297,873,081
5. Step 5: Solve for x
   x = 297,873,081/10,894
6. Step 6: Final answer
   x = 27,342.86