Finding the Third Proportional to 10,124 and 11,564

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124 : 11,564 = 11,564 : x
2. Step 2: Convert to fraction form
   10,124/11,564 = 11,564/x
3. Step 3: Cross multiply
   10,124x = 11,564 × 11,564
4. Step 4: Simplify right side
   10,124x = 133,726,096
5. Step 5: Solve for x
   x = 133,726,096/10,124
6. Step 6: Final answer
   x = 13,208.82