Finding the Third Proportional to 2,878 and 7,150

Step by Step Solution

1. Step 1: Write the proportion equation
   2,878 : 7,150 = 7,150 : x
2. Step 2: Convert to fraction form
   2,878/7,150 = 7,150/x
3. Step 3: Cross multiply
   2,878x = 7,150 × 7,150
4. Step 4: Simplify right side
   2,878x = 51,122,500
5. Step 5: Solve for x
   x = 51,122,500/2,878
6. Step 6: Final answer
   x = 17,763.20