Finding the Third Proportional to 681.81 and 1,021.59

Step by Step Solution

1. Step 1: Write the proportion equation
   681.81 : 1,021.59 = 1,021.59 : x
2. Step 2: Convert to fraction form
   681.81/1,021.59 = 1,021.59/x
3. Step 3: Cross multiply
   681.81x = 1,021.59 × 1,021.59
4. Step 4: Simplify right side
   681.81x = 1,043,653.79
5. Step 5: Solve for x
   x = 1,043,653.79/681.81
6. Step 6: Final answer
   x = 1,530.70