Finding the Third Proportional to 5,136.75 and 10,560.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,136.75 : 10,560.38 = 10,560.38 : x
2. Step 2: Convert to fraction form
   5,136.75/10,560.38 = 10,560.38/x
3. Step 3: Cross multiply
   5,136.75x = 10,560.38 × 10,560.38
4. Step 4: Simplify right side
   5,136.75x = 111,521,520.14
5. Step 5: Solve for x
   x = 111,521,520.14/5,136.75
6. Step 6: Final answer
   x = 21,710.52