Finding the Third Proportional to 9,597 and 10,983

Step by Step Solution

1. Step 1: Write the proportion equation
   9,597 : 10,983 = 10,983 : x
2. Step 2: Convert to fraction form
   9,597/10,983 = 10,983/x
3. Step 3: Cross multiply
   9,597x = 10,983 × 10,983
4. Step 4: Simplify right side
   9,597x = 120,626,289
5. Step 5: Solve for x
   x = 120,626,289/9,597
6. Step 6: Final answer
   x = 12,569.17