Finding the Third Proportional to 11,147 and 23,215

Step by Step Solution

1. Step 1: Write the proportion equation
   11,147 : 23,215 = 23,215 : x
2. Step 2: Convert to fraction form
   11,147/23,215 = 23,215/x
3. Step 3: Cross multiply
   11,147x = 23,215 × 23,215
4. Step 4: Simplify right side
   11,147x = 538,936,225
5. Step 5: Solve for x
   x = 538,936,225/11,147
6. Step 6: Final answer
   x = 48,348.10