Finding the Third Proportional to 5,968 and 12,740

Step by Step Solution

1. Step 1: Write the proportion equation
   5,968 : 12,740 = 12,740 : x
2. Step 2: Convert to fraction form
   5,968/12,740 = 12,740/x
3. Step 3: Cross multiply
   5,968x = 12,740 × 12,740
4. Step 4: Simplify right side
   5,968x = 162,307,600
5. Step 5: Solve for x
   x = 162,307,600/5,968
6. Step 6: Final answer
   x = 27,196.31