Finding the Third Proportional to 661.50 and 855.56

Step by Step Solution

1. Step 1: Write the proportion equation
   661.50 : 855.56 = 855.56 : x
2. Step 2: Convert to fraction form
   661.50/855.56 = 855.56/x
3. Step 3: Cross multiply
   661.50x = 855.56 × 855.56
4. Step 4: Simplify right side
   661.50x = 731,987.19
5. Step 5: Solve for x
   x = 731,987.19/661.50
6. Step 6: Final answer
   x = 1,106.56