Finding the Third Proportional to 2,539.69 and 5,141.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,539.69 : 5,141.81 = 5,141.81 : x
2. Step 2: Convert to fraction form
   2,539.69/5,141.81 = 5,141.81/x
3. Step 3: Cross multiply
   2,539.69x = 5,141.81 × 5,141.81
4. Step 4: Simplify right side
   2,539.69x = 26,438,235.79
5. Step 5: Solve for x
   x = 26,438,235.79/2,539.69
6. Step 6: Final answer
   x = 10,410.04