Finding the Third Proportional to 13,680 and 30,016

Step by Step Solution

1. Step 1: Write the proportion equation
   13,680 : 30,016 = 30,016 : x
2. Step 2: Convert to fraction form
   13,680/30,016 = 30,016/x
3. Step 3: Cross multiply
   13,680x = 30,016 × 30,016
4. Step 4: Simplify right side
   13,680x = 900,960,256
5. Step 5: Solve for x
   x = 900,960,256/13,680
6. Step 6: Final answer
   x = 65,859.67