Finding the Third Proportional to 2,659.08 and 5,758.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,659.08 : 5,758.59 = 5,758.59 : x
2. Step 2: Convert to fraction form
   2,659.08/5,758.59 = 5,758.59/x
3. Step 3: Cross multiply
   2,659.08x = 5,758.59 × 5,758.59
4. Step 4: Simplify right side
   2,659.08x = 33,161,401.98
5. Step 5: Solve for x
   x = 33,161,401.98/2,659.08
6. Step 6: Final answer
   x = 12,471.01