Finding the Third Proportional to 6,103.50 and 9,222.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,103.50 : 9,222.75 = 9,222.75 : x
2. Step 2: Convert to fraction form
   6,103.50/9,222.75 = 9,222.75/x
3. Step 3: Cross multiply
   6,103.50x = 9,222.75 × 9,222.75
4. Step 4: Simplify right side
   6,103.50x = 85,059,117.56
5. Step 5: Solve for x
   x = 85,059,117.56/6,103.50
6. Step 6: Final answer
   x = 13,936.12