Finding the Third Proportional to 2,543 and 5,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,543 : 5,884.50 = 5,884.50 : x
2. Step 2: Convert to fraction form
   2,543/5,884.50 = 5,884.50/x
3. Step 3: Cross multiply
   2,543x = 5,884.50 × 5,884.50
4. Step 4: Simplify right side
   2,543x = 34,627,340.25
5. Step 5: Solve for x
   x = 34,627,340.25/2,543
6. Step 6: Final answer
   x = 13,616.73