Finding the Third Proportional to 5,165.06 and 7,581.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,165.06 : 7,581.56 = 7,581.56 : x
2. Step 2: Convert to fraction form
   5,165.06/7,581.56 = 7,581.56/x
3. Step 3: Cross multiply
   5,165.06x = 7,581.56 × 7,581.56
4. Step 4: Simplify right side
   5,165.06x = 57,480,089.94
5. Step 5: Solve for x
   x = 57,480,089.94/5,165.06
6. Step 6: Final answer
   x = 11,128.63