Finding the Third Proportional to 3,680 and 5,696

Step by Step Solution

1. Step 1: Write the proportion equation
   3,680 : 5,696 = 5,696 : x
2. Step 2: Convert to fraction form
   3,680/5,696 = 5,696/x
3. Step 3: Cross multiply
   3,680x = 5,696 × 5,696
4. Step 4: Simplify right side
   3,680x = 32,444,416
5. Step 5: Solve for x
   x = 32,444,416/3,680
6. Step 6: Final answer
   x = 8,816.42