Finding the Third Proportional to 685.69 and 1,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   685.69 : 1,034.50 = 1,034.50 : x
2. Step 2: Convert to fraction form
   685.69/1,034.50 = 1,034.50/x
3. Step 3: Cross multiply
   685.69x = 1,034.50 × 1,034.50
4. Step 4: Simplify right side
   685.69x = 1,070,190.25
5. Step 5: Solve for x
   x = 1,070,190.25/685.69
6. Step 6: Final answer
   x = 1,560.76