Finding the Third Proportional to 11,570 and 22,564

Step by Step Solution

1. Step 1: Write the proportion equation
   11,570 : 22,564 = 22,564 : x
2. Step 2: Convert to fraction form
   11,570/22,564 = 22,564/x
3. Step 3: Cross multiply
   11,570x = 22,564 × 22,564
4. Step 4: Simplify right side
   11,570x = 509,134,096
5. Step 5: Solve for x
   x = 509,134,096/11,570
6. Step 6: Final answer
   x = 44,004.68