Finding the Third Proportional to 6,586 and 15,870

Step by Step Solution

1. Step 1: Write the proportion equation
   6,586 : 15,870 = 15,870 : x
2. Step 2: Convert to fraction form
   6,586/15,870 = 15,870/x
3. Step 3: Cross multiply
   6,586x = 15,870 × 15,870
4. Step 4: Simplify right side
   6,586x = 251,856,900
5. Step 5: Solve for x
   x = 251,856,900/6,586
6. Step 6: Final answer
   x = 38,241.25