Finding the Third Proportional to 5,143.50 and 5,643

Step by Step Solution

1. Step 1: Write the proportion equation
   5,143.50 : 5,643 = 5,643 : x
2. Step 2: Convert to fraction form
   5,143.50/5,643 = 5,643/x
3. Step 3: Cross multiply
   5,143.50x = 5,643 × 5,643
4. Step 4: Simplify right side
   5,143.50x = 31,843,449
5. Step 5: Solve for x
   x = 31,843,449/5,143.50
6. Step 6: Final answer
   x = 6,191.01