Finding the Third Proportional to 686.63 and 1,441.88

Step by Step Solution

1. Step 1: Write the proportion equation
   686.63 : 1,441.88 = 1,441.88 : x
2. Step 2: Convert to fraction form
   686.63/1,441.88 = 1,441.88/x
3. Step 3: Cross multiply
   686.63x = 1,441.88 × 1,441.88
4. Step 4: Simplify right side
   686.63x = 2,079,003.52
5. Step 5: Solve for x
   x = 2,079,003.52/686.63
6. Step 6: Final answer
   x = 3,027.86