Finding the Third Proportional to 2,306 and 5,443

Step by Step Solution

1. Step 1: Write the proportion equation
   2,306 : 5,443 = 5,443 : x
2. Step 2: Convert to fraction form
   2,306/5,443 = 5,443/x
3. Step 3: Cross multiply
   2,306x = 5,443 × 5,443
4. Step 4: Simplify right side
   2,306x = 29,626,249
5. Step 5: Solve for x
   x = 29,626,249/2,306
6. Step 6: Final answer
   x = 12,847.46