Finding the Third Proportional to 10,219 and 13,733

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219 : 13,733 = 13,733 : x
2. Step 2: Convert to fraction form
   10,219/13,733 = 13,733/x
3. Step 3: Cross multiply
   10,219x = 13,733 × 13,733
4. Step 4: Simplify right side
   10,219x = 188,595,289
5. Step 5: Solve for x
   x = 188,595,289/10,219
6. Step 6: Final answer
   x = 18,455.36