Finding the Third Proportional to 2,586.94 and 7,021.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.94 : 7,021.69 = 7,021.69 : x
2. Step 2: Convert to fraction form
   2,586.94/7,021.69 = 7,021.69/x
3. Step 3: Cross multiply
   2,586.94x = 7,021.69 × 7,021.69
4. Step 4: Simplify right side
   2,586.94x = 49,304,095.35
5. Step 5: Solve for x
   x = 49,304,095.35/2,586.94
6. Step 6: Final answer
   x = 19,058.87