Finding the Third Proportional to 2,681.69 and 5,619.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,681.69 : 5,619.88 = 5,619.88 : x
2. Step 2: Convert to fraction form
   2,681.69/5,619.88 = 5,619.88/x
3. Step 3: Cross multiply
   2,681.69x = 5,619.88 × 5,619.88
4. Step 4: Simplify right side
   2,681.69x = 31,582,995.02
5. Step 5: Solve for x
   x = 31,582,995.02/2,681.69
6. Step 6: Final answer
   x = 11,777.28