Finding the Third Proportional to 11,536 and 17,897

Step by Step Solution

1. Step 1: Write the proportion equation
   11,536 : 17,897 = 17,897 : x
2. Step 2: Convert to fraction form
   11,536/17,897 = 17,897/x
3. Step 3: Cross multiply
   11,536x = 17,897 × 17,897
4. Step 4: Simplify right side
   11,536x = 320,302,609
5. Step 5: Solve for x
   x = 320,302,609/11,536
6. Step 6: Final answer
   x = 27,765.48