Finding the Third Proportional to 11,596 and 15,314

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596 : 15,314 = 15,314 : x
2. Step 2: Convert to fraction form
   11,596/15,314 = 15,314/x
3. Step 3: Cross multiply
   11,596x = 15,314 × 15,314
4. Step 4: Simplify right side
   11,596x = 234,518,596
5. Step 5: Solve for x
   x = 234,518,596/11,596
6. Step 6: Final answer
   x = 20,224.09