Finding the Third Proportional to 10,377 and 22,770

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377 : 22,770 = 22,770 : x
2. Step 2: Convert to fraction form
   10,377/22,770 = 22,770/x
3. Step 3: Cross multiply
   10,377x = 22,770 × 22,770
4. Step 4: Simplify right side
   10,377x = 518,472,900
5. Step 5: Solve for x
   x = 518,472,900/10,377
6. Step 6: Final answer
   x = 49,963.66