Finding the Third Proportional to 9,038 and 21,770

Step by Step Solution

1. Step 1: Write the proportion equation
   9,038 : 21,770 = 21,770 : x
2. Step 2: Convert to fraction form
   9,038/21,770 = 21,770/x
3. Step 3: Cross multiply
   9,038x = 21,770 × 21,770
4. Step 4: Simplify right side
   9,038x = 473,932,900
5. Step 5: Solve for x
   x = 473,932,900/9,038
6. Step 6: Final answer
   x = 52,437.81