Finding the Third Proportional to 10,520 and 19,582

Step by Step Solution

1. Step 1: Write the proportion equation
   10,520 : 19,582 = 19,582 : x
2. Step 2: Convert to fraction form
   10,520/19,582 = 19,582/x
3. Step 3: Cross multiply
   10,520x = 19,582 × 19,582
4. Step 4: Simplify right side
   10,520x = 383,454,724
5. Step 5: Solve for x
   x = 383,454,724/10,520
6. Step 6: Final answer
   x = 36,450.07