Finding the Third Proportional to 6,016 and 13,663

Step by Step Solution

1. Step 1: Write the proportion equation
   6,016 : 13,663 = 13,663 : x
2. Step 2: Convert to fraction form
   6,016/13,663 = 13,663/x
3. Step 3: Cross multiply
   6,016x = 13,663 × 13,663
4. Step 4: Simplify right side
   6,016x = 186,677,569
5. Step 5: Solve for x
   x = 186,677,569/6,016
6. Step 6: Final answer
   x = 31,030.18