Finding the Third Proportional to 11,658 and 17,837

Step by Step Solution

1. Step 1: Write the proportion equation
   11,658 : 17,837 = 17,837 : x
2. Step 2: Convert to fraction form
   11,658/17,837 = 17,837/x
3. Step 3: Cross multiply
   11,658x = 17,837 × 17,837
4. Step 4: Simplify right side
   11,658x = 318,158,569
5. Step 5: Solve for x
   x = 318,158,569/11,658
6. Step 6: Final answer
   x = 27,291.01