Finding the Third Proportional to 665.06 and 1,056.56

Step by Step Solution

1. Step 1: Write the proportion equation
   665.06 : 1,056.56 = 1,056.56 : x
2. Step 2: Convert to fraction form
   665.06/1,056.56 = 1,056.56/x
3. Step 3: Cross multiply
   665.06x = 1,056.56 × 1,056.56
4. Step 4: Simplify right side
   665.06x = 1,116,324.32
5. Step 5: Solve for x
   x = 1,116,324.32/665.06
6. Step 6: Final answer
   x = 1,678.53