Finding the Third Proportional to 10,777 and 23,195

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777 : 23,195 = 23,195 : x
2. Step 2: Convert to fraction form
   10,777/23,195 = 23,195/x
3. Step 3: Cross multiply
   10,777x = 23,195 × 23,195
4. Step 4: Simplify right side
   10,777x = 538,008,025
5. Step 5: Solve for x
   x = 538,008,025/10,777
6. Step 6: Final answer
   x = 49,921.87