Finding the Third Proportional to 1,665.56 and 3,583.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.56 : 3,583.22 = 3,583.22 : x
2. Step 2: Convert to fraction form
   1,665.56/3,583.22 = 3,583.22/x
3. Step 3: Cross multiply
   1,665.56x = 3,583.22 × 3,583.22
4. Step 4: Simplify right side
   1,665.56x = 12,839,456.61
5. Step 5: Solve for x
   x = 12,839,456.61/1,665.56
6. Step 6: Final answer
   x = 7,708.78