Finding the Third Proportional to 865.37 and 1,051.42

Step by Step Solution

1. Step 1: Write the proportion equation
   865.37 : 1,051.42 = 1,051.42 : x
2. Step 2: Convert to fraction form
   865.37/1,051.42 = 1,051.42/x
3. Step 3: Cross multiply
   865.37x = 1,051.42 × 1,051.42
4. Step 4: Simplify right side
   865.37x = 1,105,479.75
5. Step 5: Solve for x
   x = 1,105,479.75/865.37
6. Step 6: Final answer
   x = 1,277.46