Finding the Third Proportional to 1,255.50 and 1,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.50 : 1,665.75 = 1,665.75 : x
2. Step 2: Convert to fraction form
   1,255.50/1,665.75 = 1,665.75/x
3. Step 3: Cross multiply
   1,255.50x = 1,665.75 × 1,665.75
4. Step 4: Simplify right side
   1,255.50x = 2,774,723.06
5. Step 5: Solve for x
   x = 2,774,723.06/1,255.50
6. Step 6: Final answer
   x = 2,210.05