Finding the Third Proportional to 14,184 and 30,384

Step by Step Solution

1. Step 1: Write the proportion equation
   14,184 : 30,384 = 30,384 : x
2. Step 2: Convert to fraction form
   14,184/30,384 = 30,384/x
3. Step 3: Cross multiply
   14,184x = 30,384 × 30,384
4. Step 4: Simplify right side
   14,184x = 923,187,456
5. Step 5: Solve for x
   x = 923,187,456/14,184
6. Step 6: Final answer
   x = 65,086.54