Finding the Third Proportional to 5,824 and 13,742

Step by Step Solution

1. Step 1: Write the proportion equation
   5,824 : 13,742 = 13,742 : x
2. Step 2: Convert to fraction form
   5,824/13,742 = 13,742/x
3. Step 3: Cross multiply
   5,824x = 13,742 × 13,742
4. Step 4: Simplify right side
   5,824x = 188,842,564
5. Step 5: Solve for x
   x = 188,842,564/5,824
6. Step 6: Final answer
   x = 32,424.89