Finding the Third Proportional to 661.50 and 1,014.38

Step by Step Solution

1. Step 1: Write the proportion equation
   661.50 : 1,014.38 = 1,014.38 : x
2. Step 2: Convert to fraction form
   661.50/1,014.38 = 1,014.38/x
3. Step 3: Cross multiply
   661.50x = 1,014.38 × 1,014.38
4. Step 4: Simplify right side
   661.50x = 1,028,956.64
5. Step 5: Solve for x
   x = 1,028,956.64/661.50
6. Step 6: Final answer
   x = 1,555.49