Finding the Third Proportional to 5,870 and 12,676

Step by Step Solution

1. Step 1: Write the proportion equation
   5,870 : 12,676 = 12,676 : x
2. Step 2: Convert to fraction form
   5,870/12,676 = 12,676/x
3. Step 3: Cross multiply
   5,870x = 12,676 × 12,676
4. Step 4: Simplify right side
   5,870x = 160,680,976
5. Step 5: Solve for x
   x = 160,680,976/5,870
6. Step 6: Final answer
   x = 27,373.25