Finding the Third Proportional to 10,516 and 22,582

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516 : 22,582 = 22,582 : x
2. Step 2: Convert to fraction form
   10,516/22,582 = 22,582/x
3. Step 3: Cross multiply
   10,516x = 22,582 × 22,582
4. Step 4: Simplify right side
   10,516x = 509,946,724
5. Step 5: Solve for x
   x = 509,946,724/10,516
6. Step 6: Final answer
   x = 48,492.46