Finding the Third Proportional to 671 and 1,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   671 : 1,031.50 = 1,031.50 : x
2. Step 2: Convert to fraction form
   671/1,031.50 = 1,031.50/x
3. Step 3: Cross multiply
   671x = 1,031.50 × 1,031.50
4. Step 4: Simplify right side
   671x = 1,063,992.25
5. Step 5: Solve for x
   x = 1,063,992.25/671
6. Step 6: Final answer
   x = 1,585.68