Finding the Third Proportional to 10,596 and 13,674

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596 : 13,674 = 13,674 : x
2. Step 2: Convert to fraction form
   10,596/13,674 = 13,674/x
3. Step 3: Cross multiply
   10,596x = 13,674 × 13,674
4. Step 4: Simplify right side
   10,596x = 186,978,276
5. Step 5: Solve for x
   x = 186,978,276/10,596
6. Step 6: Final answer
   x = 17,646.12