Finding the Third Proportional to 6,204.09 and 8,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,204.09 : 8,383.50 = 8,383.50 : x
2. Step 2: Convert to fraction form
   6,204.09/8,383.50 = 8,383.50/x
3. Step 3: Cross multiply
   6,204.09x = 8,383.50 × 8,383.50
4. Step 4: Simplify right side
   6,204.09x = 70,283,072.25
5. Step 5: Solve for x
   x = 70,283,072.25/6,204.09
6. Step 6: Final answer
   x = 11,328.50