Finding the Third Proportional to 2,838 and 3,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,838 : 3,973.50 = 3,973.50 : x
2. Step 2: Convert to fraction form
   2,838/3,973.50 = 3,973.50/x
3. Step 3: Cross multiply
   2,838x = 3,973.50 × 3,973.50
4. Step 4: Simplify right side
   2,838x = 15,788,702.25
5. Step 5: Solve for x
   x = 15,788,702.25/2,838
6. Step 6: Final answer
   x = 5,563.32