Finding the Third Proportional to 5,075 and 10,289

Step by Step Solution

1. Step 1: Write the proportion equation
   5,075 : 10,289 = 10,289 : x
2. Step 2: Convert to fraction form
   5,075/10,289 = 10,289/x
3. Step 3: Cross multiply
   5,075x = 10,289 × 10,289
4. Step 4: Simplify right side
   5,075x = 105,863,521
5. Step 5: Solve for x
   x = 105,863,521/5,075
6. Step 6: Final answer
   x = 20,859.81