Finding the Third Proportional to 5,968 and 14,111

Step by Step Solution

1. Step 1: Write the proportion equation
   5,968 : 14,111 = 14,111 : x
2. Step 2: Convert to fraction form
   5,968/14,111 = 14,111/x
3. Step 3: Cross multiply
   5,968x = 14,111 × 14,111
4. Step 4: Simplify right side
   5,968x = 199,120,321
5. Step 5: Solve for x
   x = 199,120,321/5,968
6. Step 6: Final answer
   x = 33,364.67