Finding the Third Proportional to 11,199 and 23,727

Step by Step Solution

1. Step 1: Write the proportion equation
   11,199 : 23,727 = 23,727 : x
2. Step 2: Convert to fraction form
   11,199/23,727 = 23,727/x
3. Step 3: Cross multiply
   11,199x = 23,727 × 23,727
4. Step 4: Simplify right side
   11,199x = 562,970,529
5. Step 5: Solve for x
   x = 562,970,529/11,199
6. Step 6: Final answer
   x = 50,269.71