Finding the Third Proportional to 11,003 and 23,677

Step by Step Solution

1. Step 1: Write the proportion equation
   11,003 : 23,677 = 23,677 : x
2. Step 2: Convert to fraction form
   11,003/23,677 = 23,677/x
3. Step 3: Cross multiply
   11,003x = 23,677 × 23,677
4. Step 4: Simplify right side
   11,003x = 560,600,329
5. Step 5: Solve for x
   x = 560,600,329/11,003
6. Step 6: Final answer
   x = 50,949.77