Finding the Third Proportional to 5,005.97 and 10,315.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,005.97 : 10,315.69 = 10,315.69 : x
2. Step 2: Convert to fraction form
   5,005.97/10,315.69 = 10,315.69/x
3. Step 3: Cross multiply
   5,005.97x = 10,315.69 × 10,315.69
4. Step 4: Simplify right side
   5,005.97x = 106,413,408.60
5. Step 5: Solve for x
   x = 106,413,408.60/5,005.97
6. Step 6: Final answer
   x = 21,257.31