Finding the Third Proportional to 6,184 and 12,878

Step by Step Solution

1. Step 1: Write the proportion equation
   6,184 : 12,878 = 12,878 : x
2. Step 2: Convert to fraction form
   6,184/12,878 = 12,878/x
3. Step 3: Cross multiply
   6,184x = 12,878 × 12,878
4. Step 4: Simplify right side
   6,184x = 165,842,884
5. Step 5: Solve for x
   x = 165,842,884/6,184
6. Step 6: Final answer
   x = 26,818.06