Finding the Third Proportional to 2,978.50 and 4,256

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978.50 : 4,256 = 4,256 : x
2. Step 2: Convert to fraction form
   2,978.50/4,256 = 4,256/x
3. Step 3: Cross multiply
   2,978.50x = 4,256 × 4,256
4. Step 4: Simplify right side
   2,978.50x = 18,113,536
5. Step 5: Solve for x
   x = 18,113,536/2,978.50
6. Step 6: Final answer
   x = 6,081.43