Finding the Third Proportional to 10,760 and 15,238

Step by Step Solution

1. Step 1: Write the proportion equation
   10,760 : 15,238 = 15,238 : x
2. Step 2: Convert to fraction form
   10,760/15,238 = 15,238/x
3. Step 3: Cross multiply
   10,760x = 15,238 × 15,238
4. Step 4: Simplify right side
   10,760x = 232,196,644
5. Step 5: Solve for x
   x = 232,196,644/10,760
6. Step 6: Final answer
   x = 21,579.61