Finding the Third Proportional to 12,684 and 30,144

Step by Step Solution

1. Step 1: Write the proportion equation
   12,684 : 30,144 = 30,144 : x
2. Step 2: Convert to fraction form
   12,684/30,144 = 30,144/x
3. Step 3: Cross multiply
   12,684x = 30,144 × 30,144
4. Step 4: Simplify right side
   12,684x = 908,660,736
5. Step 5: Solve for x
   x = 908,660,736/12,684
6. Step 6: Final answer
   x = 71,638.34