Finding the Third Proportional to 661.50 and 1,031.06

Step by Step Solution

1. Step 1: Write the proportion equation
   661.50 : 1,031.06 = 1,031.06 : x
2. Step 2: Convert to fraction form
   661.50/1,031.06 = 1,031.06/x
3. Step 3: Cross multiply
   661.50x = 1,031.06 × 1,031.06
4. Step 4: Simplify right side
   661.50x = 1,063,089.88
5. Step 5: Solve for x
   x = 1,063,089.88/661.50
6. Step 6: Final answer
   x = 1,607.09