Finding the Third Proportional to 681 and 1,082.63

Step by Step Solution

1. Step 1: Write the proportion equation
   681 : 1,082.63 = 1,082.63 : x
2. Step 2: Convert to fraction form
   681/1,082.63 = 1,082.63/x
3. Step 3: Cross multiply
   681x = 1,082.63 × 1,082.63
4. Step 4: Simplify right side
   681x = 1,172,076.89
5. Step 5: Solve for x
   x = 1,172,076.89/681
6. Step 6: Final answer
   x = 1,721.11