Finding the Third Proportional to 789.75 and 1,665.56

Step by Step Solution

1. Step 1: Write the proportion equation
   789.75 : 1,665.56 = 1,665.56 : x
2. Step 2: Convert to fraction form
   789.75/1,665.56 = 1,665.56/x
3. Step 3: Cross multiply
   789.75x = 1,665.56 × 1,665.56
4. Step 4: Simplify right side
   789.75x = 2,774,098.44
5. Step 5: Solve for x
   x = 2,774,098.44/789.75
6. Step 6: Final answer
   x = 3,512.63