Finding the Third Proportional to 10,806.75 and 16,561.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,806.75 : 16,561.13 = 16,561.13 : x
2. Step 2: Convert to fraction form
   10,806.75/16,561.13 = 16,561.13/x
3. Step 3: Cross multiply
   10,806.75x = 16,561.13 × 16,561.13
4. Step 4: Simplify right side
   10,806.75x = 274,270,861.27
5. Step 5: Solve for x
   x = 274,270,861.27/10,806.75
6. Step 6: Final answer
   x = 25,379.59