Finding the Third Proportional to 686 and 1,034.88

Step by Step Solution

1. Step 1: Write the proportion equation
   686 : 1,034.88 = 1,034.88 : x
2. Step 2: Convert to fraction form
   686/1,034.88 = 1,034.88/x
3. Step 3: Cross multiply
   686x = 1,034.88 × 1,034.88
4. Step 4: Simplify right side
   686x = 1,070,966.27
5. Step 5: Solve for x
   x = 1,070,966.27/686
6. Step 6: Final answer
   x = 1,561.18