Finding the Third Proportional to 9,810 and 21,257

Step by Step Solution

1. Step 1: Write the proportion equation
   9,810 : 21,257 = 21,257 : x
2. Step 2: Convert to fraction form
   9,810/21,257 = 21,257/x
3. Step 3: Cross multiply
   9,810x = 21,257 × 21,257
4. Step 4: Simplify right side
   9,810x = 451,860,049
5. Step 5: Solve for x
   x = 451,860,049/9,810
6. Step 6: Final answer
   x = 46,061.17