Finding the Third Proportional to 6,202 and 13,096

Step by Step Solution

1. Step 1: Write the proportion equation
   6,202 : 13,096 = 13,096 : x
2. Step 2: Convert to fraction form
   6,202/13,096 = 13,096/x
3. Step 3: Cross multiply
   6,202x = 13,096 × 13,096
4. Step 4: Simplify right side
   6,202x = 171,505,216
5. Step 5: Solve for x
   x = 171,505,216/6,202
6. Step 6: Final answer
   x = 27,653.21