Finding the Third Proportional to 9,589 and 14,061

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589 : 14,061 = 14,061 : x
2. Step 2: Convert to fraction form
   9,589/14,061 = 14,061/x
3. Step 3: Cross multiply
   9,589x = 14,061 × 14,061
4. Step 4: Simplify right side
   9,589x = 197,711,721
5. Step 5: Solve for x
   x = 197,711,721/9,589
6. Step 6: Final answer
   x = 20,618.60