Finding the Third Proportional to 2,894.25 and 4,484.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,894.25 : 4,484.38 = 4,484.38 : x
2. Step 2: Convert to fraction form
   2,894.25/4,484.38 = 4,484.38/x
3. Step 3: Cross multiply
   2,894.25x = 4,484.38 × 4,484.38
4. Step 4: Simplify right side
   2,894.25x = 20,109,619.14
5. Step 5: Solve for x
   x = 20,109,619.14/2,894.25
6. Step 6: Final answer
   x = 6,948.13