Finding the Third Proportional to 11,597 and 24,834

Step by Step Solution

1. Step 1: Write the proportion equation
   11,597 : 24,834 = 24,834 : x
2. Step 2: Convert to fraction form
   11,597/24,834 = 24,834/x
3. Step 3: Cross multiply
   11,597x = 24,834 × 24,834
4. Step 4: Simplify right side
   11,597x = 616,727,556
5. Step 5: Solve for x
   x = 616,727,556/11,597
6. Step 6: Final answer
   x = 53,179.92