Finding the Third Proportional to 11,164 and 23,477

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164 : 23,477 = 23,477 : x
2. Step 2: Convert to fraction form
   11,164/23,477 = 23,477/x
3. Step 3: Cross multiply
   11,164x = 23,477 × 23,477
4. Step 4: Simplify right side
   11,164x = 551,169,529
5. Step 5: Solve for x
   x = 551,169,529/11,164
6. Step 6: Final answer
   x = 49,370.26