Finding the Third Proportional to 5,696 and 13,636

Step by Step Solution

1. Step 1: Write the proportion equation
   5,696 : 13,636 = 13,636 : x
2. Step 2: Convert to fraction form
   5,696/13,636 = 13,636/x
3. Step 3: Cross multiply
   5,696x = 13,636 × 13,636
4. Step 4: Simplify right side
   5,696x = 185,940,496
5. Step 5: Solve for x
   x = 185,940,496/5,696
6. Step 6: Final answer
   x = 32,644.05