Finding the Third Proportional to 9,536 and 17,664

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 17,664 = 17,664 : x
2. Step 2: Convert to fraction form
   9,536/17,664 = 17,664/x
3. Step 3: Cross multiply
   9,536x = 17,664 × 17,664
4. Step 4: Simplify right side
   9,536x = 312,016,896
5. Step 5: Solve for x
   x = 312,016,896/9,536
6. Step 6: Final answer
   x = 32,719.89