Finding the Third Proportional to 661.29 and 1,410.54

Step by Step Solution

1. Step 1: Write the proportion equation
   661.29 : 1,410.54 = 1,410.54 : x
2. Step 2: Convert to fraction form
   661.29/1,410.54 = 1,410.54/x
3. Step 3: Cross multiply
   661.29x = 1,410.54 × 1,410.54
4. Step 4: Simplify right side
   661.29x = 1,989,620.45
5. Step 5: Solve for x
   x = 1,989,620.45/661.29
6. Step 6: Final answer
   x = 3,008.70