Finding the Third Proportional to 11,438 and 17,825

Step by Step Solution

1. Step 1: Write the proportion equation
   11,438 : 17,825 = 17,825 : x
2. Step 2: Convert to fraction form
   11,438/17,825 = 17,825/x
3. Step 3: Cross multiply
   11,438x = 17,825 × 17,825
4. Step 4: Simplify right side
   11,438x = 317,730,625
5. Step 5: Solve for x
   x = 317,730,625/11,438
6. Step 6: Final answer
   x = 27,778.51