Finding the Third Proportional to 8,112 and 15,384

Step by Step Solution

1. Step 1: Write the proportion equation
   8,112 : 15,384 = 15,384 : x
2. Step 2: Convert to fraction form
   8,112/15,384 = 15,384/x
3. Step 3: Cross multiply
   8,112x = 15,384 × 15,384
4. Step 4: Simplify right side
   8,112x = 236,667,456
5. Step 5: Solve for x
   x = 236,667,456/8,112
6. Step 6: Final answer
   x = 29,174.98