Finding the Third Proportional to 1,005.75 and 2,168.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.75 : 2,168.81 = 2,168.81 : x
2. Step 2: Convert to fraction form
   1,005.75/2,168.81 = 2,168.81/x
3. Step 3: Cross multiply
   1,005.75x = 2,168.81 × 2,168.81
4. Step 4: Simplify right side
   1,005.75x = 4,703,747.66
5. Step 5: Solve for x
   x = 4,703,747.66/1,005.75
6. Step 6: Final answer
   x = 4,676.86