Finding the Third Proportional to 5,968 and 13,510

Step by Step Solution

1. Step 1: Write the proportion equation
   5,968 : 13,510 = 13,510 : x
2. Step 2: Convert to fraction form
   5,968/13,510 = 13,510/x
3. Step 3: Cross multiply
   5,968x = 13,510 × 13,510
4. Step 4: Simplify right side
   5,968x = 182,520,100
5. Step 5: Solve for x
   x = 182,520,100/5,968
6. Step 6: Final answer
   x = 30,583.13