Finding the Third Proportional to 17,696 and 24,288

Step by Step Solution

1. Step 1: Write the proportion equation
   17,696 : 24,288 = 24,288 : x
2. Step 2: Convert to fraction form
   17,696/24,288 = 24,288/x
3. Step 3: Cross multiply
   17,696x = 24,288 × 24,288
4. Step 4: Simplify right side
   17,696x = 589,906,944
5. Step 5: Solve for x
   x = 589,906,944/17,696
6. Step 6: Final answer
   x = 33,335.61