Finding the Third Proportional to 10,836 and 14,524

Step by Step Solution

1. Step 1: Write the proportion equation
   10,836 : 14,524 = 14,524 : x
2. Step 2: Convert to fraction form
   10,836/14,524 = 14,524/x
3. Step 3: Cross multiply
   10,836x = 14,524 × 14,524
4. Step 4: Simplify right side
   10,836x = 210,946,576
5. Step 5: Solve for x
   x = 210,946,576/10,836
6. Step 6: Final answer
   x = 19,467.20