Finding the Third Proportional to 7,838 and 12,144

Step by Step Solution

1. Step 1: Write the proportion equation
   7,838 : 12,144 = 12,144 : x
2. Step 2: Convert to fraction form
   7,838/12,144 = 12,144/x
3. Step 3: Cross multiply
   7,838x = 12,144 × 12,144
4. Step 4: Simplify right side
   7,838x = 147,476,736
5. Step 5: Solve for x
   x = 147,476,736/7,838
6. Step 6: Final answer
   x = 18,815.61