Finding the Third Proportional to 865.69 and 1,214.72

Step by Step Solution

1. Step 1: Write the proportion equation
   865.69 : 1,214.72 = 1,214.72 : x
2. Step 2: Convert to fraction form
   865.69/1,214.72 = 1,214.72/x
3. Step 3: Cross multiply
   865.69x = 1,214.72 × 1,214.72
4. Step 4: Simplify right side
   865.69x = 1,475,541.64
5. Step 5: Solve for x
   x = 1,475,541.64/865.69
6. Step 6: Final answer
   x = 1,704.47