Finding the Third Proportional to 10,096 and 21,630

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 21,630 = 21,630 : x
2. Step 2: Convert to fraction form
   10,096/21,630 = 21,630/x
3. Step 3: Cross multiply
   10,096x = 21,630 × 21,630
4. Step 4: Simplify right side
   10,096x = 467,856,900
5. Step 5: Solve for x
   x = 467,856,900/10,096
6. Step 6: Final answer
   x = 46,340.82