Finding the Third Proportional to 10,478 and 22,570

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478 : 22,570 = 22,570 : x
2. Step 2: Convert to fraction form
   10,478/22,570 = 22,570/x
3. Step 3: Cross multiply
   10,478x = 22,570 × 22,570
4. Step 4: Simplify right side
   10,478x = 509,404,900
5. Step 5: Solve for x
   x = 509,404,900/10,478
6. Step 6: Final answer
   x = 48,616.62