Finding the Third Proportional to 681.94 and 1,493.25

Step by Step Solution

1. Step 1: Write the proportion equation
   681.94 : 1,493.25 = 1,493.25 : x
2. Step 2: Convert to fraction form
   681.94/1,493.25 = 1,493.25/x
3. Step 3: Cross multiply
   681.94x = 1,493.25 × 1,493.25
4. Step 4: Simplify right side
   681.94x = 2,229,795.56
5. Step 5: Solve for x
   x = 2,229,795.56/681.94
6. Step 6: Final answer
   x = 3,269.79