Finding the Third Proportional to 661.50 and 1,563

Step by Step Solution

1. Step 1: Write the proportion equation
   661.50 : 1,563 = 1,563 : x
2. Step 2: Convert to fraction form
   661.50/1,563 = 1,563/x
3. Step 3: Cross multiply
   661.50x = 1,563 × 1,563
4. Step 4: Simplify right side
   661.50x = 2,442,969
5. Step 5: Solve for x
   x = 2,442,969/661.50
6. Step 6: Final answer
   x = 3,693.07