Finding the Third Proportional to 2,619 and 3,926.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,619 : 3,926.81 = 3,926.81 : x
2. Step 2: Convert to fraction form
   2,619/3,926.81 = 3,926.81/x
3. Step 3: Cross multiply
   2,619x = 3,926.81 × 3,926.81
4. Step 4: Simplify right side
   2,619x = 15,419,856.41
5. Step 5: Solve for x
   x = 15,419,856.41/2,619
6. Step 6: Final answer
   x = 5,887.69