Finding the Third Proportional to 10,570 and 22,684

Step by Step Solution

1. Step 1: Write the proportion equation
   10,570 : 22,684 = 22,684 : x
2. Step 2: Convert to fraction form
   10,570/22,684 = 22,684/x
3. Step 3: Cross multiply
   10,570x = 22,684 × 22,684
4. Step 4: Simplify right side
   10,570x = 514,563,856
5. Step 5: Solve for x
   x = 514,563,856/10,570
6. Step 6: Final answer
   x = 48,681.54