Finding the Third Proportional to 6,298 and 7,114

Step by Step Solution

1. Step 1: Write the proportion equation
   6,298 : 7,114 = 7,114 : x
2. Step 2: Convert to fraction form
   6,298/7,114 = 7,114/x
3. Step 3: Cross multiply
   6,298x = 7,114 × 7,114
4. Step 4: Simplify right side
   6,298x = 50,608,996
5. Step 5: Solve for x
   x = 50,608,996/6,298
6. Step 6: Final answer
   x = 8,035.72