Finding the Third Proportional to 10,576 and 22,650

Step by Step Solution

1. Step 1: Write the proportion equation
   10,576 : 22,650 = 22,650 : x
2. Step 2: Convert to fraction form
   10,576/22,650 = 22,650/x
3. Step 3: Cross multiply
   10,576x = 22,650 × 22,650
4. Step 4: Simplify right side
   10,576x = 513,022,500
5. Step 5: Solve for x
   x = 513,022,500/10,576
6. Step 6: Final answer
   x = 48,508.18