Finding the Third Proportional to 5,104.50 and 7,182.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,104.50 : 7,182.75 = 7,182.75 : x
2. Step 2: Convert to fraction form
   5,104.50/7,182.75 = 7,182.75/x
3. Step 3: Cross multiply
   5,104.50x = 7,182.75 × 7,182.75
4. Step 4: Simplify right side
   5,104.50x = 51,591,897.56
5. Step 5: Solve for x
   x = 51,591,897.56/5,104.50
6. Step 6: Final answer
   x = 10,107.14