Finding the Third Proportional to 9,022 and 13,498

Step by Step Solution

1. Step 1: Write the proportion equation
   9,022 : 13,498 = 13,498 : x
2. Step 2: Convert to fraction form
   9,022/13,498 = 13,498/x
3. Step 3: Cross multiply
   9,022x = 13,498 × 13,498
4. Step 4: Simplify right side
   9,022x = 182,196,004
5. Step 5: Solve for x
   x = 182,196,004/9,022
6. Step 6: Final answer
   x = 20,194.64