Finding the Third Proportional to 5,968.69 and 13,476.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,968.69 : 13,476.38 = 13,476.38 : x
2. Step 2: Convert to fraction form
   5,968.69/13,476.38 = 13,476.38/x
3. Step 3: Cross multiply
   5,968.69x = 13,476.38 × 13,476.38
4. Step 4: Simplify right side
   5,968.69x = 181,612,683.14
5. Step 5: Solve for x
   x = 181,612,683.14/5,968.69
6. Step 6: Final answer
   x = 30,427.57