Finding the Third Proportional to 5,424.31 and 8,194.37

Step by Step Solution

1. Step 1: Write the proportion equation
   5,424.31 : 8,194.37 = 8,194.37 : x
2. Step 2: Convert to fraction form
   5,424.31/8,194.37 = 8,194.37/x
3. Step 3: Cross multiply
   5,424.31x = 8,194.37 × 8,194.37
4. Step 4: Simplify right side
   5,424.31x = 67,147,669.61
5. Step 5: Solve for x
   x = 67,147,669.61/5,424.31
6. Step 6: Final answer
   x = 12,379.02