Finding the Third Proportional to 661 and 1,010.50

Step by Step Solution

1. Step 1: Write the proportion equation
   661 : 1,010.50 = 1,010.50 : x
2. Step 2: Convert to fraction form
   661/1,010.50 = 1,010.50/x
3. Step 3: Cross multiply
   661x = 1,010.50 × 1,010.50
4. Step 4: Simplify right side
   661x = 1,021,110.25
5. Step 5: Solve for x
   x = 1,021,110.25/661
6. Step 6: Final answer
   x = 1,544.80