Finding the Third Proportional to 6,839 and 10,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,839 : 10,714.50 = 10,714.50 : x
2. Step 2: Convert to fraction form
   6,839/10,714.50 = 10,714.50/x
3. Step 3: Cross multiply
   6,839x = 10,714.50 × 10,714.50
4. Step 4: Simplify right side
   6,839x = 114,800,510.25
5. Step 5: Solve for x
   x = 114,800,510.25/6,839
6. Step 6: Final answer
   x = 16,786.15