Finding the Third Proportional to 2,838.50 and 4,240

Step by Step Solution

1. Step 1: Write the proportion equation
   2,838.50 : 4,240 = 4,240 : x
2. Step 2: Convert to fraction form
   2,838.50/4,240 = 4,240/x
3. Step 3: Cross multiply
   2,838.50x = 4,240 × 4,240
4. Step 4: Simplify right side
   2,838.50x = 17,977,600
5. Step 5: Solve for x
   x = 17,977,600/2,838.50
6. Step 6: Final answer
   x = 6,333.49