Finding the Third Proportional to 23,864 and 51,184

Step by Step Solution

1. Step 1: Write the proportion equation
   23,864 : 51,184 = 51,184 : x
2. Step 2: Convert to fraction form
   23,864/51,184 = 51,184/x
3. Step 3: Cross multiply
   23,864x = 51,184 × 51,184
4. Step 4: Simplify right side
   23,864x = 2,619,801,856
5. Step 5: Solve for x
   x = 2,619,801,856/23,864
6. Step 6: Final answer
   x = 109,780.50