Finding the Third Proportional to 681 and 1,031.25

Step by Step Solution

1. Step 1: Write the proportion equation
   681 : 1,031.25 = 1,031.25 : x
2. Step 2: Convert to fraction form
   681/1,031.25 = 1,031.25/x
3. Step 3: Cross multiply
   681x = 1,031.25 × 1,031.25
4. Step 4: Simplify right side
   681x = 1,063,476.56
5. Step 5: Solve for x
   x = 1,063,476.56/681
6. Step 6: Final answer
   x = 1,561.64