Finding the Third Proportional to 10,521 and 24,582

Step by Step Solution

1. Step 1: Write the proportion equation
   10,521 : 24,582 = 24,582 : x
2. Step 2: Convert to fraction form
   10,521/24,582 = 24,582/x
3. Step 3: Cross multiply
   10,521x = 24,582 × 24,582
4. Step 4: Simplify right side
   10,521x = 604,274,724
5. Step 5: Solve for x
   x = 604,274,724/10,521
6. Step 6: Final answer
   x = 57,435.10