Finding the Third Proportional to 654.66 and 1,411.83

Step by Step Solution

1. Step 1: Write the proportion equation
   654.66 : 1,411.83 = 1,411.83 : x
2. Step 2: Convert to fraction form
   654.66/1,411.83 = 1,411.83/x
3. Step 3: Cross multiply
   654.66x = 1,411.83 × 1,411.83
4. Step 4: Simplify right side
   654.66x = 1,993,258.65
5. Step 5: Solve for x
   x = 1,993,258.65/654.66
6. Step 6: Final answer
   x = 3,044.74