Finding the Third Proportional to 10,048 and 21,770

Step by Step Solution

1. Step 1: Write the proportion equation
   10,048 : 21,770 = 21,770 : x
2. Step 2: Convert to fraction form
   10,048/21,770 = 21,770/x
3. Step 3: Cross multiply
   10,048x = 21,770 × 21,770
4. Step 4: Simplify right side
   10,048x = 473,932,900
5. Step 5: Solve for x
   x = 473,932,900/10,048
6. Step 6: Final answer
   x = 47,166.89