Finding the Third Proportional to 8,184 and 12,838

Step by Step Solution

1. Step 1: Write the proportion equation
   8,184 : 12,838 = 12,838 : x
2. Step 2: Convert to fraction form
   8,184/12,838 = 12,838/x
3. Step 3: Cross multiply
   8,184x = 12,838 × 12,838
4. Step 4: Simplify right side
   8,184x = 164,814,244
5. Step 5: Solve for x
   x = 164,814,244/8,184
6. Step 6: Final answer
   x = 20,138.59