Finding the Third Proportional to 685.41 and 1,002.52

Step by Step Solution

1. Step 1: Write the proportion equation
   685.41 : 1,002.52 = 1,002.52 : x
2. Step 2: Convert to fraction form
   685.41/1,002.52 = 1,002.52/x
3. Step 3: Cross multiply
   685.41x = 1,002.52 × 1,002.52
4. Step 4: Simplify right side
   685.41x = 1,005,037.58
5. Step 5: Solve for x
   x = 1,005,037.58/685.41
6. Step 6: Final answer
   x = 1,466.34