Finding the Third Proportional to 11,216 and 23,161

Step by Step Solution

1. Step 1: Write the proportion equation
   11,216 : 23,161 = 23,161 : x
2. Step 2: Convert to fraction form
   11,216/23,161 = 23,161/x
3. Step 3: Cross multiply
   11,216x = 23,161 × 23,161
4. Step 4: Simplify right side
   11,216x = 536,431,921
5. Step 5: Solve for x
   x = 536,431,921/11,216
6. Step 6: Final answer
   x = 47,827.38