Finding the Third Proportional to 1,023.05 and 1,382.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.05 : 1,382.27 = 1,382.27 : x
2. Step 2: Convert to fraction form
   1,023.05/1,382.27 = 1,382.27/x
3. Step 3: Cross multiply
   1,023.05x = 1,382.27 × 1,382.27
4. Step 4: Simplify right side
   1,023.05x = 1,910,679.86
5. Step 5: Solve for x
   x = 1,910,679.86/1,023.05
6. Step 6: Final answer
   x = 1,867.64