Finding the Third Proportional to 5,238 and 10,380

Step by Step Solution

1. Step 1: Write the proportion equation
   5,238 : 10,380 = 10,380 : x
2. Step 2: Convert to fraction form
   5,238/10,380 = 10,380/x
3. Step 3: Cross multiply
   5,238x = 10,380 × 10,380
4. Step 4: Simplify right side
   5,238x = 107,744,400
5. Step 5: Solve for x
   x = 107,744,400/5,238
6. Step 6: Final answer
   x = 20,569.76