Finding the Third Proportional to 661.50 and 1,566

Step by Step Solution

1. Step 1: Write the proportion equation
   661.50 : 1,566 = 1,566 : x
2. Step 2: Convert to fraction form
   661.50/1,566 = 1,566/x
3. Step 3: Cross multiply
   661.50x = 1,566 × 1,566
4. Step 4: Simplify right side
   661.50x = 2,452,356
5. Step 5: Solve for x
   x = 2,452,356/661.50
6. Step 6: Final answer
   x = 3,707.27