Finding the Third Proportional to 10,366 and 22,570

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 22,570 = 22,570 : x
2. Step 2: Convert to fraction form
   10,366/22,570 = 22,570/x
3. Step 3: Cross multiply
   10,366x = 22,570 × 22,570
4. Step 4: Simplify right side
   10,366x = 509,404,900
5. Step 5: Solve for x
   x = 509,404,900/10,366
6. Step 6: Final answer
   x = 49,141.90