Finding the Third Proportional to 13,084 and 16,216

Step by Step Solution

1. Step 1: Write the proportion equation
   13,084 : 16,216 = 16,216 : x
2. Step 2: Convert to fraction form
   13,084/16,216 = 16,216/x
3. Step 3: Cross multiply
   13,084x = 16,216 × 16,216
4. Step 4: Simplify right side
   13,084x = 262,958,656
5. Step 5: Solve for x
   x = 262,958,656/13,084
6. Step 6: Final answer
   x = 20,097.73