Finding the Third Proportional to 1,665.56 and 2,566.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.56 : 2,566.69 = 2,566.69 : x
2. Step 2: Convert to fraction form
   1,665.56/2,566.69 = 2,566.69/x
3. Step 3: Cross multiply
   1,665.56x = 2,566.69 × 2,566.69
4. Step 4: Simplify right side
   1,665.56x = 6,587,884.72
5. Step 5: Solve for x
   x = 6,587,884.72/1,665.56
6. Step 6: Final answer
   x = 3,955.35