Finding the Third Proportional to 661.88 and 1,441.31

Step by Step Solution

1. Step 1: Write the proportion equation
   661.88 : 1,441.31 = 1,441.31 : x
2. Step 2: Convert to fraction form
   661.88/1,441.31 = 1,441.31/x
3. Step 3: Cross multiply
   661.88x = 1,441.31 × 1,441.31
4. Step 4: Simplify right side
   661.88x = 2,077,381.72
5. Step 5: Solve for x
   x = 2,077,381.72/661.88
6. Step 6: Final answer
   x = 3,138.63