Finding the Third Proportional to 11,825 and 17,983

Step by Step Solution

1. Step 1: Write the proportion equation
   11,825 : 17,983 = 17,983 : x
2. Step 2: Convert to fraction form
   11,825/17,983 = 17,983/x
3. Step 3: Cross multiply
   11,825x = 17,983 × 17,983
4. Step 4: Simplify right side
   11,825x = 323,388,289
5. Step 5: Solve for x
   x = 323,388,289/11,825
6. Step 6: Final answer
   x = 27,347.85