Finding the Third Proportional to 6,096.94 and 14,581.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.94 : 14,581.69 = 14,581.69 : x
2. Step 2: Convert to fraction form
   6,096.94/14,581.69 = 14,581.69/x
3. Step 3: Cross multiply
   6,096.94x = 14,581.69 × 14,581.69
4. Step 4: Simplify right side
   6,096.94x = 212,625,610.35
5. Step 5: Solve for x
   x = 212,625,610.35/6,096.94
6. Step 6: Final answer
   x = 34,874.17