Finding the Third Proportional to 5,832 and 13,740

Step by Step Solution

1. Step 1: Write the proportion equation
   5,832 : 13,740 = 13,740 : x
2. Step 2: Convert to fraction form
   5,832/13,740 = 13,740/x
3. Step 3: Cross multiply
   5,832x = 13,740 × 13,740
4. Step 4: Simplify right side
   5,832x = 188,787,600
5. Step 5: Solve for x
   x = 188,787,600/5,832
6. Step 6: Final answer
   x = 32,370.99