Finding the Third Proportional to 5,411.81 and 8,096.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,411.81 : 8,096.06 = 8,096.06 : x
2. Step 2: Convert to fraction form
   5,411.81/8,096.06 = 8,096.06/x
3. Step 3: Cross multiply
   5,411.81x = 8,096.06 × 8,096.06
4. Step 4: Simplify right side
   5,411.81x = 65,546,228.00
5. Step 5: Solve for x
   x = 65,546,228.00/5,411.81
6. Step 6: Final answer
   x = 12,111.70