Finding the Third Proportional to 695 and 1,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   695 : 1,080.50 = 1,080.50 : x
2. Step 2: Convert to fraction form
   695/1,080.50 = 1,080.50/x
3. Step 3: Cross multiply
   695x = 1,080.50 × 1,080.50
4. Step 4: Simplify right side
   695x = 1,167,480.25
5. Step 5: Solve for x
   x = 1,167,480.25/695
6. Step 6: Final answer
   x = 1,679.83