Finding the Third Proportional to 9,810 and 21,474

Step by Step Solution

1. Step 1: Write the proportion equation
   9,810 : 21,474 = 21,474 : x
2. Step 2: Convert to fraction form
   9,810/21,474 = 21,474/x
3. Step 3: Cross multiply
   9,810x = 21,474 × 21,474
4. Step 4: Simplify right side
   9,810x = 461,132,676
5. Step 5: Solve for x
   x = 461,132,676/9,810
6. Step 6: Final answer
   x = 47,006.39