Finding the Third Proportional to 2,109.50 and 4,543

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.50 : 4,543 = 4,543 : x
2. Step 2: Convert to fraction form
   2,109.50/4,543 = 4,543/x
3. Step 3: Cross multiply
   2,109.50x = 4,543 × 4,543
4. Step 4: Simplify right side
   2,109.50x = 20,638,849
5. Step 5: Solve for x
   x = 20,638,849/2,109.50
6. Step 6: Final answer
   x = 9,783.76