Finding the Third Proportional to 11,596 and 14,156

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596 : 14,156 = 14,156 : x
2. Step 2: Convert to fraction form
   11,596/14,156 = 14,156/x
3. Step 3: Cross multiply
   11,596x = 14,156 × 14,156
4. Step 4: Simplify right side
   11,596x = 200,392,336
5. Step 5: Solve for x
   x = 200,392,336/11,596
6. Step 6: Final answer
   x = 17,281.16