Finding the Third Proportional to 9,578 and 17,266

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578 : 17,266 = 17,266 : x
2. Step 2: Convert to fraction form
   9,578/17,266 = 17,266/x
3. Step 3: Cross multiply
   9,578x = 17,266 × 17,266
4. Step 4: Simplify right side
   9,578x = 298,114,756
5. Step 5: Solve for x
   x = 298,114,756/9,578
6. Step 6: Final answer
   x = 31,124.95