Finding the Third Proportional to 9,824 and 19,150

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824 : 19,150 = 19,150 : x
2. Step 2: Convert to fraction form
   9,824/19,150 = 19,150/x
3. Step 3: Cross multiply
   9,824x = 19,150 × 19,150
4. Step 4: Simplify right side
   9,824x = 366,722,500
5. Step 5: Solve for x
   x = 366,722,500/9,824
6. Step 6: Final answer
   x = 37,329.24