Finding the Third Proportional to 6,106 and 12,884

Step by Step Solution

1. Step 1: Write the proportion equation
   6,106 : 12,884 = 12,884 : x
2. Step 2: Convert to fraction form
   6,106/12,884 = 12,884/x
3. Step 3: Cross multiply
   6,106x = 12,884 × 12,884
4. Step 4: Simplify right side
   6,106x = 165,997,456
5. Step 5: Solve for x
   x = 165,997,456/6,106
6. Step 6: Final answer
   x = 27,185.96