Finding the Third Proportional to 6,230.50 and 9,255.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,230.50 : 9,255.69 = 9,255.69 : x
2. Step 2: Convert to fraction form
   6,230.50/9,255.69 = 9,255.69/x
3. Step 3: Cross multiply
   6,230.50x = 9,255.69 × 9,255.69
4. Step 4: Simplify right side
   6,230.50x = 85,667,751.10
5. Step 5: Solve for x
   x = 85,667,751.10/6,230.50
6. Step 6: Final answer
   x = 13,749.74