Finding the Third Proportional to 10,461 and 21,777

Step by Step Solution

1. Step 1: Write the proportion equation
   10,461 : 21,777 = 21,777 : x
2. Step 2: Convert to fraction form
   10,461/21,777 = 21,777/x
3. Step 3: Cross multiply
   10,461x = 21,777 × 21,777
4. Step 4: Simplify right side
   10,461x = 474,237,729
5. Step 5: Solve for x
   x = 474,237,729/10,461
6. Step 6: Final answer
   x = 45,333.88