Finding the Third Proportional to 9,470 and 20,824

Step by Step Solution

1. Step 1: Write the proportion equation
   9,470 : 20,824 = 20,824 : x
2. Step 2: Convert to fraction form
   9,470/20,824 = 20,824/x
3. Step 3: Cross multiply
   9,470x = 20,824 × 20,824
4. Step 4: Simplify right side
   9,470x = 433,638,976
5. Step 5: Solve for x
   x = 433,638,976/9,470
6. Step 6: Final answer
   x = 45,790.81