Finding the Third Proportional to 13,774 and 16,222

Step by Step Solution

1. Step 1: Write the proportion equation
   13,774 : 16,222 = 16,222 : x
2. Step 2: Convert to fraction form
   13,774/16,222 = 16,222/x
3. Step 3: Cross multiply
   13,774x = 16,222 × 16,222
4. Step 4: Simplify right side
   13,774x = 263,153,284
5. Step 5: Solve for x
   x = 263,153,284/13,774
6. Step 6: Final answer
   x = 19,105.07