Finding the Third Proportional to 9,738 and 21,116

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738 : 21,116 = 21,116 : x
2. Step 2: Convert to fraction form
   9,738/21,116 = 21,116/x
3. Step 3: Cross multiply
   9,738x = 21,116 × 21,116
4. Step 4: Simplify right side
   9,738x = 445,885,456
5. Step 5: Solve for x
   x = 445,885,456/9,738
6. Step 6: Final answer
   x = 45,788.20