Finding the Third Proportional to 10,976 and 22,678

Step by Step Solution

1. Step 1: Write the proportion equation
   10,976 : 22,678 = 22,678 : x
2. Step 2: Convert to fraction form
   10,976/22,678 = 22,678/x
3. Step 3: Cross multiply
   10,976x = 22,678 × 22,678
4. Step 4: Simplify right side
   10,976x = 514,291,684
5. Step 5: Solve for x
   x = 514,291,684/10,976
6. Step 6: Final answer
   x = 46,856.02