Finding the Third Proportional to 3,896 and 5,528

Step by Step Solution

1. Step 1: Write the proportion equation
   3,896 : 5,528 = 5,528 : x
2. Step 2: Convert to fraction form
   3,896/5,528 = 5,528/x
3. Step 3: Cross multiply
   3,896x = 5,528 × 5,528
4. Step 4: Simplify right side
   3,896x = 30,558,784
5. Step 5: Solve for x
   x = 30,558,784/3,896
6. Step 6: Final answer
   x = 7,843.63