Finding the Third Proportional to 10,184 and 19,120

Step by Step Solution

1. Step 1: Write the proportion equation
   10,184 : 19,120 = 19,120 : x
2. Step 2: Convert to fraction form
   10,184/19,120 = 19,120/x
3. Step 3: Cross multiply
   10,184x = 19,120 × 19,120
4. Step 4: Simplify right side
   10,184x = 365,574,400
5. Step 5: Solve for x
   x = 365,574,400/10,184
6. Step 6: Final answer
   x = 35,896.94