Finding the Third Proportional to 7,182 and 10,494.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,182 : 10,494.56 = 10,494.56 : x
2. Step 2: Convert to fraction form
   7,182/10,494.56 = 10,494.56/x
3. Step 3: Cross multiply
   7,182x = 10,494.56 × 10,494.56
4. Step 4: Simplify right side
   7,182x = 110,135,842.07
5. Step 5: Solve for x
   x = 110,135,842.07/7,182
6. Step 6: Final answer
   x = 15,334.98