Finding the Third Proportional to 9,586 and 17,282

Step by Step Solution

1. Step 1: Write the proportion equation
   9,586 : 17,282 = 17,282 : x
2. Step 2: Convert to fraction form
   9,586/17,282 = 17,282/x
3. Step 3: Cross multiply
   9,586x = 17,282 × 17,282
4. Step 4: Simplify right side
   9,586x = 298,667,524
5. Step 5: Solve for x
   x = 298,667,524/9,586
6. Step 6: Final answer
   x = 31,156.64