Finding the Third Proportional to 9,810 and 21,564

Step by Step Solution

1. Step 1: Write the proportion equation
   9,810 : 21,564 = 21,564 : x
2. Step 2: Convert to fraction form
   9,810/21,564 = 21,564/x
3. Step 3: Cross multiply
   9,810x = 21,564 × 21,564
4. Step 4: Simplify right side
   9,810x = 465,006,096
5. Step 5: Solve for x
   x = 465,006,096/9,810
6. Step 6: Final answer
   x = 47,401.23