Finding the Third Proportional to 6,016.50 and 9,298

Step by Step Solution

1. Step 1: Write the proportion equation
   6,016.50 : 9,298 = 9,298 : x
2. Step 2: Convert to fraction form
   6,016.50/9,298 = 9,298/x
3. Step 3: Cross multiply
   6,016.50x = 9,298 × 9,298
4. Step 4: Simplify right side
   6,016.50x = 86,452,804
5. Step 5: Solve for x
   x = 86,452,804/6,016.50
6. Step 6: Final answer
   x = 14,369.29