Finding the Third Proportional to 10,219 and 18,980

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219 : 18,980 = 18,980 : x
2. Step 2: Convert to fraction form
   10,219/18,980 = 18,980/x
3. Step 3: Cross multiply
   10,219x = 18,980 × 18,980
4. Step 4: Simplify right side
   10,219x = 360,240,400
5. Step 5: Solve for x
   x = 360,240,400/10,219
6. Step 6: Final answer
   x = 35,252.02