Finding the Third Proportional to 9,536 and 15,096

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 15,096 = 15,096 : x
2. Step 2: Convert to fraction form
   9,536/15,096 = 15,096/x
3. Step 3: Cross multiply
   9,536x = 15,096 × 15,096
4. Step 4: Simplify right side
   9,536x = 227,889,216
5. Step 5: Solve for x
   x = 227,889,216/9,536
6. Step 6: Final answer
   x = 23,897.78