Finding the Third Proportional to 2,871 and 4,484.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,871 : 4,484.25 = 4,484.25 : x
2. Step 2: Convert to fraction form
   2,871/4,484.25 = 4,484.25/x
3. Step 3: Cross multiply
   2,871x = 4,484.25 × 4,484.25
4. Step 4: Simplify right side
   2,871x = 20,108,498.06
5. Step 5: Solve for x
   x = 20,108,498.06/2,871
6. Step 6: Final answer
   x = 7,004.00