Finding the Third Proportional to 11,577 and 17,846

Step by Step Solution

1. Step 1: Write the proportion equation
   11,577 : 17,846 = 17,846 : x
2. Step 2: Convert to fraction form
   11,577/17,846 = 17,846/x
3. Step 3: Cross multiply
   11,577x = 17,846 × 17,846
4. Step 4: Simplify right side
   11,577x = 318,479,716
5. Step 5: Solve for x
   x = 318,479,716/11,577
6. Step 6: Final answer
   x = 27,509.69