Finding the Third Proportional to 11,160 and 17,357

Step by Step Solution

1. Step 1: Write the proportion equation
   11,160 : 17,357 = 17,357 : x
2. Step 2: Convert to fraction form
   11,160/17,357 = 17,357/x
3. Step 3: Cross multiply
   11,160x = 17,357 × 17,357
4. Step 4: Simplify right side
   11,160x = 301,265,449
5. Step 5: Solve for x
   x = 301,265,449/11,160
6. Step 6: Final answer
   x = 26,995.11