Finding the Third Proportional to 865.27 and 1,892.53

Step by Step Solution

1. Step 1: Write the proportion equation
   865.27 : 1,892.53 = 1,892.53 : x
2. Step 2: Convert to fraction form
   865.27/1,892.53 = 1,892.53/x
3. Step 3: Cross multiply
   865.27x = 1,892.53 × 1,892.53
4. Step 4: Simplify right side
   865.27x = 3,581,674.53
5. Step 5: Solve for x
   x = 3,581,674.53/865.27
6. Step 6: Final answer
   x = 4,139.39