Finding the Third Proportional to 23,424 and 50,184

Step by Step Solution

1. Step 1: Write the proportion equation
   23,424 : 50,184 = 50,184 : x
2. Step 2: Convert to fraction form
   23,424/50,184 = 50,184/x
3. Step 3: Cross multiply
   23,424x = 50,184 × 50,184
4. Step 4: Simplify right side
   23,424x = 2,518,433,856
5. Step 5: Solve for x
   x = 2,518,433,856/23,424
6. Step 6: Final answer
   x = 107,515.11