Finding the Third Proportional to 5,968.69 and 12,882.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,968.69 : 12,882.80 = 12,882.80 : x
2. Step 2: Convert to fraction form
   5,968.69/12,882.80 = 12,882.80/x
3. Step 3: Cross multiply
   5,968.69x = 12,882.80 × 12,882.80
4. Step 4: Simplify right side
   5,968.69x = 165,966,455.32
5. Step 5: Solve for x
   x = 165,966,455.32/5,968.69
6. Step 6: Final answer
   x = 27,806.19