Finding the Third Proportional to 2,838 and 4,094.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,838 : 4,094.25 = 4,094.25 : x
2. Step 2: Convert to fraction form
   2,838/4,094.25 = 4,094.25/x
3. Step 3: Cross multiply
   2,838x = 4,094.25 × 4,094.25
4. Step 4: Simplify right side
   2,838x = 16,762,883.06
5. Step 5: Solve for x
   x = 16,762,883.06/2,838
6. Step 6: Final answer
   x = 5,906.58