Finding the Third Proportional to 5,838 and 13,386

Step by Step Solution

1. Step 1: Write the proportion equation
   5,838 : 13,386 = 13,386 : x
2. Step 2: Convert to fraction form
   5,838/13,386 = 13,386/x
3. Step 3: Cross multiply
   5,838x = 13,386 × 13,386
4. Step 4: Simplify right side
   5,838x = 179,184,996
5. Step 5: Solve for x
   x = 179,184,996/5,838
6. Step 6: Final answer
   x = 30,692.87