Finding the Third Proportional to 11,424 and 17,328

Step by Step Solution

1. Step 1: Write the proportion equation
   11,424 : 17,328 = 17,328 : x
2. Step 2: Convert to fraction form
   11,424/17,328 = 17,328/x
3. Step 3: Cross multiply
   11,424x = 17,328 × 17,328
4. Step 4: Simplify right side
   11,424x = 300,259,584
5. Step 5: Solve for x
   x = 300,259,584/11,424
6. Step 6: Final answer
   x = 26,283.23