Finding the Third Proportional to 11,536 and 17,530

Step by Step Solution

1. Step 1: Write the proportion equation
   11,536 : 17,530 = 17,530 : x
2. Step 2: Convert to fraction form
   11,536/17,530 = 17,530/x
3. Step 3: Cross multiply
   11,536x = 17,530 × 17,530
4. Step 4: Simplify right side
   11,536x = 307,300,900
5. Step 5: Solve for x
   x = 307,300,900/11,536
6. Step 6: Final answer
   x = 26,638.43