Finding the Third Proportional to 2,850 and 7,074

Step by Step Solution

1. Step 1: Write the proportion equation
   2,850 : 7,074 = 7,074 : x
2. Step 2: Convert to fraction form
   2,850/7,074 = 7,074/x
3. Step 3: Cross multiply
   2,850x = 7,074 × 7,074
4. Step 4: Simplify right side
   2,850x = 50,041,476
5. Step 5: Solve for x
   x = 50,041,476/2,850
6. Step 6: Final answer
   x = 17,558.41