Finding the Third Proportional to 11,123 and 19,777

Step by Step Solution

1. Step 1: Write the proportion equation
   11,123 : 19,777 = 19,777 : x
2. Step 2: Convert to fraction form
   11,123/19,777 = 19,777/x
3. Step 3: Cross multiply
   11,123x = 19,777 × 19,777
4. Step 4: Simplify right side
   11,123x = 391,129,729
5. Step 5: Solve for x
   x = 391,129,729/11,123
6. Step 6: Final answer
   x = 35,164.05