Finding the Third Proportional to 9,696 and 17,888

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696 : 17,888 = 17,888 : x
2. Step 2: Convert to fraction form
   9,696/17,888 = 17,888/x
3. Step 3: Cross multiply
   9,696x = 17,888 × 17,888
4. Step 4: Simplify right side
   9,696x = 319,980,544
5. Step 5: Solve for x
   x = 319,980,544/9,696
6. Step 6: Final answer
   x = 33,001.29