Finding the Third Proportional to 10,300 and 15,524

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300 : 15,524 = 15,524 : x
2. Step 2: Convert to fraction form
   10,300/15,524 = 15,524/x
3. Step 3: Cross multiply
   10,300x = 15,524 × 15,524
4. Step 4: Simplify right side
   10,300x = 240,994,576
5. Step 5: Solve for x
   x = 240,994,576/10,300
6. Step 6: Final answer
   x = 23,397.53