Finding the Third Proportional to 10,500 and 19,524

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 19,524 = 19,524 : x
2. Step 2: Convert to fraction form
   10,500/19,524 = 19,524/x
3. Step 3: Cross multiply
   10,500x = 19,524 × 19,524
4. Step 4: Simplify right side
   10,500x = 381,186,576
5. Step 5: Solve for x
   x = 381,186,576/10,500
6. Step 6: Final answer
   x = 36,303.48