Finding the Third Proportional to 3,221 and 5,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,221 : 5,105.50 = 5,105.50 : x
2. Step 2: Convert to fraction form
   3,221/5,105.50 = 5,105.50/x
3. Step 3: Cross multiply
   3,221x = 5,105.50 × 5,105.50
4. Step 4: Simplify right side
   3,221x = 26,066,130.25
5. Step 5: Solve for x
   x = 26,066,130.25/3,221
6. Step 6: Final answer
   x = 8,092.56