Finding the Third Proportional to 6,096.75 and 9,016.13

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.75 : 9,016.13 = 9,016.13 : x
2. Step 2: Convert to fraction form
   6,096.75/9,016.13 = 9,016.13/x
3. Step 3: Cross multiply
   6,096.75x = 9,016.13 × 9,016.13
4. Step 4: Simplify right side
   6,096.75x = 81,290,510.02
5. Step 5: Solve for x
   x = 81,290,510.02/6,096.75
6. Step 6: Final answer
   x = 13,333.42