Finding the Third Proportional to 9,777 and 21,111

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777 : 21,111 = 21,111 : x
2. Step 2: Convert to fraction form
   9,777/21,111 = 21,111/x
3. Step 3: Cross multiply
   9,777x = 21,111 × 21,111
4. Step 4: Simplify right side
   9,777x = 445,674,321
5. Step 5: Solve for x
   x = 445,674,321/9,777
6. Step 6: Final answer
   x = 45,583.95