Finding the Third Proportional to 11,286 and 17,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,286 : 17,215.50 = 17,215.50 : x
2. Step 2: Convert to fraction form
   11,286/17,215.50 = 17,215.50/x
3. Step 3: Cross multiply
   11,286x = 17,215.50 × 17,215.50
4. Step 4: Simplify right side
   11,286x = 296,373,440.25
5. Step 5: Solve for x
   x = 296,373,440.25/11,286
6. Step 6: Final answer
   x = 26,260.27