Finding the Third Proportional to 7,567.59 and 10,185.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,567.59 : 10,185.75 = 10,185.75 : x
2. Step 2: Convert to fraction form
   7,567.59/10,185.75 = 10,185.75/x
3. Step 3: Cross multiply
   7,567.59x = 10,185.75 × 10,185.75
4. Step 4: Simplify right side
   7,567.59x = 103,749,503.06
5. Step 5: Solve for x
   x = 103,749,503.06/7,567.59
6. Step 6: Final answer
   x = 13,709.71