Finding the Third Proportional to 3,218.06 and 5,580.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,218.06 : 5,580.56 = 5,580.56 : x
2. Step 2: Convert to fraction form
   3,218.06/5,580.56 = 5,580.56/x
3. Step 3: Cross multiply
   3,218.06x = 5,580.56 × 5,580.56
4. Step 4: Simplify right side
   3,218.06x = 31,142,677.82
5. Step 5: Solve for x
   x = 31,142,677.82/3,218.06
6. Step 6: Final answer
   x = 9,677.46