Finding the Third Proportional to 5,238 and 10,658.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,238 : 10,658.25 = 10,658.25 : x
2. Step 2: Convert to fraction form
   5,238/10,658.25 = 10,658.25/x
3. Step 3: Cross multiply
   5,238x = 10,658.25 × 10,658.25
4. Step 4: Simplify right side
   5,238x = 113,598,293.06
5. Step 5: Solve for x
   x = 113,598,293.06/5,238
6. Step 6: Final answer
   x = 21,687.34