Finding the Third Proportional to 9,566 and 17,074

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566 : 17,074 = 17,074 : x
2. Step 2: Convert to fraction form
   9,566/17,074 = 17,074/x
3. Step 3: Cross multiply
   9,566x = 17,074 × 17,074
4. Step 4: Simplify right side
   9,566x = 291,521,476
5. Step 5: Solve for x
   x = 291,521,476/9,566
6. Step 6: Final answer
   x = 30,474.75