Finding the Third Proportional to 699.50 and 855.50

Step by Step Solution

1. Step 1: Write the proportion equation
   699.50 : 855.50 = 855.50 : x
2. Step 2: Convert to fraction form
   699.50/855.50 = 855.50/x
3. Step 3: Cross multiply
   699.50x = 855.50 × 855.50
4. Step 4: Simplify right side
   699.50x = 731,880.25
5. Step 5: Solve for x
   x = 731,880.25/699.50
6. Step 6: Final answer
   x = 1,046.29