Finding the Third Proportional to 5,034.50 and 8,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,034.50 : 8,199.50 = 8,199.50 : x
2. Step 2: Convert to fraction form
   5,034.50/8,199.50 = 8,199.50/x
3. Step 3: Cross multiply
   5,034.50x = 8,199.50 × 8,199.50
4. Step 4: Simplify right side
   5,034.50x = 67,231,800.25
5. Step 5: Solve for x
   x = 67,231,800.25/5,034.50
6. Step 6: Final answer
   x = 13,354.22