Finding the Third Proportional to 681.38 and 1,019.63

Step by Step Solution

1. Step 1: Write the proportion equation
   681.38 : 1,019.63 = 1,019.63 : x
2. Step 2: Convert to fraction form
   681.38/1,019.63 = 1,019.63/x
3. Step 3: Cross multiply
   681.38x = 1,019.63 × 1,019.63
4. Step 4: Simplify right side
   681.38x = 1,039,635.14
5. Step 5: Solve for x
   x = 1,039,635.14/681.38
6. Step 6: Final answer
   x = 1,525.79