Finding the Third Proportional to 2,914.50 and 4,458.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,914.50 : 4,458.25 = 4,458.25 : x
2. Step 2: Convert to fraction form
   2,914.50/4,458.25 = 4,458.25/x
3. Step 3: Cross multiply
   2,914.50x = 4,458.25 × 4,458.25
4. Step 4: Simplify right side
   2,914.50x = 19,875,993.06
5. Step 5: Solve for x
   x = 19,875,993.06/2,914.50
6. Step 6: Final answer
   x = 6,819.69