Finding the Third Proportional to 7,509.50 and 10,563.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,509.50 : 10,563.25 = 10,563.25 : x
2. Step 2: Convert to fraction form
   7,509.50/10,563.25 = 10,563.25/x
3. Step 3: Cross multiply
   7,509.50x = 10,563.25 × 10,563.25
4. Step 4: Simplify right side
   7,509.50x = 111,582,250.56
5. Step 5: Solve for x
   x = 111,582,250.56/7,509.50
6. Step 6: Final answer
   x = 14,858.81