Finding the Third Proportional to 10,760 and 17,224

Step by Step Solution

1. Step 1: Write the proportion equation
   10,760 : 17,224 = 17,224 : x
2. Step 2: Convert to fraction form
   10,760/17,224 = 17,224/x
3. Step 3: Cross multiply
   10,760x = 17,224 × 17,224
4. Step 4: Simplify right side
   10,760x = 296,666,176
5. Step 5: Solve for x
   x = 296,666,176/10,760
6. Step 6: Final answer
   x = 27,571.21