Finding the Third Proportional to 2,415.09 and 5,089.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,415.09 : 5,089.64 = 5,089.64 : x
2. Step 2: Convert to fraction form
   2,415.09/5,089.64 = 5,089.64/x
3. Step 3: Cross multiply
   2,415.09x = 5,089.64 × 5,089.64
4. Step 4: Simplify right side
   2,415.09x = 25,904,441.69
5. Step 5: Solve for x
   x = 25,904,441.69/2,415.09
6. Step 6: Final answer
   x = 10,726.06