Finding the Third Proportional to 865.69 and 2,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   865.69 : 2,146.50 = 2,146.50 : x
2. Step 2: Convert to fraction form
   865.69/2,146.50 = 2,146.50/x
3. Step 3: Cross multiply
   865.69x = 2,146.50 × 2,146.50
4. Step 4: Simplify right side
   865.69x = 4,607,462.25
5. Step 5: Solve for x
   x = 4,607,462.25/865.69
6. Step 6: Final answer
   x = 5,322.32