Finding the Third Proportional to 2,866.50 and 4,322.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,866.50 : 4,322.25 = 4,322.25 : x
2. Step 2: Convert to fraction form
   2,866.50/4,322.25 = 4,322.25/x
3. Step 3: Cross multiply
   2,866.50x = 4,322.25 × 4,322.25
4. Step 4: Simplify right side
   2,866.50x = 18,681,845.06
5. Step 5: Solve for x
   x = 18,681,845.06/2,866.50
6. Step 6: Final answer
   x = 6,517.30