Finding the Third Proportional to 2,894.50 and 4,484.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,894.50 : 4,484.75 = 4,484.75 : x
2. Step 2: Convert to fraction form
   2,894.50/4,484.75 = 4,484.75/x
3. Step 3: Cross multiply
   2,894.50x = 4,484.75 × 4,484.75
4. Step 4: Simplify right side
   2,894.50x = 20,112,982.56
5. Step 5: Solve for x
   x = 20,112,982.56/2,894.50
6. Step 6: Final answer
   x = 6,948.69