Finding the Third Proportional to 11,820 and 16,216

Step by Step Solution

1. Step 1: Write the proportion equation
   11,820 : 16,216 = 16,216 : x
2. Step 2: Convert to fraction form
   11,820/16,216 = 16,216/x
3. Step 3: Cross multiply
   11,820x = 16,216 × 16,216
4. Step 4: Simplify right side
   11,820x = 262,958,656
5. Step 5: Solve for x
   x = 262,958,656/11,820
6. Step 6: Final answer
   x = 22,246.93