Finding the Third Proportional to 10,077 and 21,774

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077 : 21,774 = 21,774 : x
2. Step 2: Convert to fraction form
   10,077/21,774 = 21,774/x
3. Step 3: Cross multiply
   10,077x = 21,774 × 21,774
4. Step 4: Simplify right side
   10,077x = 474,107,076
5. Step 5: Solve for x
   x = 474,107,076/10,077
6. Step 6: Final answer
   x = 47,048.43