Finding the Third Proportional to 6,189 and 13,758

Step by Step Solution

1. Step 1: Write the proportion equation
   6,189 : 13,758 = 13,758 : x
2. Step 2: Convert to fraction form
   6,189/13,758 = 13,758/x
3. Step 3: Cross multiply
   6,189x = 13,758 × 13,758
4. Step 4: Simplify right side
   6,189x = 189,282,564
5. Step 5: Solve for x
   x = 189,282,564/6,189
6. Step 6: Final answer
   x = 30,583.71