Finding the Third Proportional to 5,874 and 13,443

Step by Step Solution

1. Step 1: Write the proportion equation
   5,874 : 13,443 = 13,443 : x
2. Step 2: Convert to fraction form
   5,874/13,443 = 13,443/x
3. Step 3: Cross multiply
   5,874x = 13,443 × 13,443
4. Step 4: Simplify right side
   5,874x = 180,714,249
5. Step 5: Solve for x
   x = 180,714,249/5,874
6. Step 6: Final answer
   x = 30,765.11