Finding the Third Proportional to 6,204.38 and 8,431.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,204.38 : 8,431.88 = 8,431.88 : x
2. Step 2: Convert to fraction form
   6,204.38/8,431.88 = 8,431.88/x
3. Step 3: Cross multiply
   6,204.38x = 8,431.88 × 8,431.88
4. Step 4: Simplify right side
   6,204.38x = 71,096,516.02
5. Step 5: Solve for x
   x = 71,096,516.02/6,204.38
6. Step 6: Final answer
   x = 11,459.09