Finding the Third Proportional to 11,596 and 28,028

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596 : 28,028 = 28,028 : x
2. Step 2: Convert to fraction form
   11,596/28,028 = 28,028/x
3. Step 3: Cross multiply
   11,596x = 28,028 × 28,028
4. Step 4: Simplify right side
   11,596x = 785,568,784
5. Step 5: Solve for x
   x = 785,568,784/11,596
6. Step 6: Final answer
   x = 67,744.81