Finding the Third Proportional to 6,848 and 10,322

Step by Step Solution

1. Step 1: Write the proportion equation
   6,848 : 10,322 = 10,322 : x
2. Step 2: Convert to fraction form
   6,848/10,322 = 10,322/x
3. Step 3: Cross multiply
   6,848x = 10,322 × 10,322
4. Step 4: Simplify right side
   6,848x = 106,543,684
5. Step 5: Solve for x
   x = 106,543,684/6,848
6. Step 6: Final answer
   x = 15,558.37