Finding the Third Proportional to 10,790 and 17,323

Step by Step Solution

1. Step 1: Write the proportion equation
   10,790 : 17,323 = 17,323 : x
2. Step 2: Convert to fraction form
   10,790/17,323 = 17,323/x
3. Step 3: Cross multiply
   10,790x = 17,323 × 17,323
4. Step 4: Simplify right side
   10,790x = 300,086,329
5. Step 5: Solve for x
   x = 300,086,329/10,790
6. Step 6: Final answer
   x = 27,811.52