Finding the Third Proportional to 865 and 2,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   865 : 2,150.50 = 2,150.50 : x
2. Step 2: Convert to fraction form
   865/2,150.50 = 2,150.50/x
3. Step 3: Cross multiply
   865x = 2,150.50 × 2,150.50
4. Step 4: Simplify right side
   865x = 4,624,650.25
5. Step 5: Solve for x
   x = 4,624,650.25/865
6. Step 6: Final answer
   x = 5,346.42