Finding the Third Proportional to 11,525 and 17,828

Step by Step Solution

1. Step 1: Write the proportion equation
   11,525 : 17,828 = 17,828 : x
2. Step 2: Convert to fraction form
   11,525/17,828 = 17,828/x
3. Step 3: Cross multiply
   11,525x = 17,828 × 17,828
4. Step 4: Simplify right side
   11,525x = 317,837,584
5. Step 5: Solve for x
   x = 317,837,584/11,525
6. Step 6: Final answer
   x = 27,578.10