Finding the Third Proportional to 2,887.50 and 4,478.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,887.50 : 4,478.25 = 4,478.25 : x
2. Step 2: Convert to fraction form
   2,887.50/4,478.25 = 4,478.25/x
3. Step 3: Cross multiply
   2,887.50x = 4,478.25 × 4,478.25
4. Step 4: Simplify right side
   2,887.50x = 20,054,723.06
5. Step 5: Solve for x
   x = 20,054,723.06/2,887.50
6. Step 6: Final answer
   x = 6,945.36