Finding the Third Proportional to 1,665.56 and 2,612.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.56 : 2,612.81 = 2,612.81 : x
2. Step 2: Convert to fraction form
   1,665.56/2,612.81 = 2,612.81/x
3. Step 3: Cross multiply
   1,665.56x = 2,612.81 × 2,612.81
4. Step 4: Simplify right side
   1,665.56x = 6,826,789.16
5. Step 5: Solve for x
   x = 6,826,789.16/1,665.56
6. Step 6: Final answer
   x = 4,098.79