Finding the Third Proportional to 2,895 and 4,148.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,895 : 4,148.25 = 4,148.25 : x
2. Step 2: Convert to fraction form
   2,895/4,148.25 = 4,148.25/x
3. Step 3: Cross multiply
   2,895x = 4,148.25 × 4,148.25
4. Step 4: Simplify right side
   2,895x = 17,207,978.06
5. Step 5: Solve for x
   x = 17,207,978.06/2,895
6. Step 6: Final answer
   x = 5,944.03