Finding the Third Proportional to 681.75 and 1,024.31

Step by Step Solution

1. Step 1: Write the proportion equation
   681.75 : 1,024.31 = 1,024.31 : x
2. Step 2: Convert to fraction form
   681.75/1,024.31 = 1,024.31/x
3. Step 3: Cross multiply
   681.75x = 1,024.31 × 1,024.31
4. Step 4: Simplify right side
   681.75x = 1,049,216.10
5. Step 5: Solve for x
   x = 1,049,216.10/681.75
6. Step 6: Final answer
   x = 1,539.00