Finding the Third Proportional to 10,124 and 19,576

Step by Step Solution

1. Step 1: Write the proportion equation
   10,124 : 19,576 = 19,576 : x
2. Step 2: Convert to fraction form
   10,124/19,576 = 19,576/x
3. Step 3: Cross multiply
   10,124x = 19,576 × 19,576
4. Step 4: Simplify right side
   10,124x = 383,219,776
5. Step 5: Solve for x
   x = 383,219,776/10,124
6. Step 6: Final answer
   x = 37,852.61