Finding the Third Proportional to 2,220.47 and 3,406.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,220.47 : 3,406.78 = 3,406.78 : x
2. Step 2: Convert to fraction form
   2,220.47/3,406.78 = 3,406.78/x
3. Step 3: Cross multiply
   2,220.47x = 3,406.78 × 3,406.78
4. Step 4: Simplify right side
   2,220.47x = 11,606,158.49
5. Step 5: Solve for x
   x = 11,606,158.49/2,220.47
6. Step 6: Final answer
   x = 5,226.90