Finding the Third Proportional to 5,563.69 and 10,185.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,563.69 : 10,185.75 = 10,185.75 : x
2. Step 2: Convert to fraction form
   5,563.69/10,185.75 = 10,185.75/x
3. Step 3: Cross multiply
   5,563.69x = 10,185.75 × 10,185.75
4. Step 4: Simplify right side
   5,563.69x = 103,749,503.06
5. Step 5: Solve for x
   x = 103,749,503.06/5,563.69
6. Step 6: Final answer
   x = 18,647.62