Finding the Third Proportional to 10,180 and 19,280

Step by Step Solution

1. Step 1: Write the proportion equation
   10,180 : 19,280 = 19,280 : x
2. Step 2: Convert to fraction form
   10,180/19,280 = 19,280/x
3. Step 3: Cross multiply
   10,180x = 19,280 × 19,280
4. Step 4: Simplify right side
   10,180x = 371,718,400
5. Step 5: Solve for x
   x = 371,718,400/10,180
6. Step 6: Final answer
   x = 36,514.58