Finding the Third Proportional to 5,221.41 and 8,093.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,221.41 : 8,093.81 = 8,093.81 : x
2. Step 2: Convert to fraction form
   5,221.41/8,093.81 = 8,093.81/x
3. Step 3: Cross multiply
   5,221.41x = 8,093.81 × 8,093.81
4. Step 4: Simplify right side
   5,221.41x = 65,509,800.79
5. Step 5: Solve for x
   x = 65,509,800.79/5,221.41
6. Step 6: Final answer
   x = 12,546.39