Finding the Third Proportional to 5,100.25 and 7,182

Step by Step Solution

1. Step 1: Write the proportion equation
   5,100.25 : 7,182 = 7,182 : x
2. Step 2: Convert to fraction form
   5,100.25/7,182 = 7,182/x
3. Step 3: Cross multiply
   5,100.25x = 7,182 × 7,182
4. Step 4: Simplify right side
   5,100.25x = 51,581,124
5. Step 5: Solve for x
   x = 51,581,124/5,100.25
6. Step 6: Final answer
   x = 10,113.45