Finding the Third Proportional to 1,665.56 and 4,392.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.56 : 4,392.56 = 4,392.56 : x
2. Step 2: Convert to fraction form
   1,665.56/4,392.56 = 4,392.56/x
3. Step 3: Cross multiply
   1,665.56x = 4,392.56 × 4,392.56
4. Step 4: Simplify right side
   1,665.56x = 19,294,605.32
5. Step 5: Solve for x
   x = 19,294,605.32/1,665.56
6. Step 6: Final answer
   x = 11,584.44