Finding the Third Proportional to 10,152 and 21,524

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 21,524 = 21,524 : x
2. Step 2: Convert to fraction form
   10,152/21,524 = 21,524/x
3. Step 3: Cross multiply
   10,152x = 21,524 × 21,524
4. Step 4: Simplify right side
   10,152x = 463,282,576
5. Step 5: Solve for x
   x = 463,282,576/10,152
6. Step 6: Final answer
   x = 45,634.61