Finding the Third Proportional to 2,757 and 7,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,757 : 7,162.50 = 7,162.50 : x
2. Step 2: Convert to fraction form
   2,757/7,162.50 = 7,162.50/x
3. Step 3: Cross multiply
   2,757x = 7,162.50 × 7,162.50
4. Step 4: Simplify right side
   2,757x = 51,301,406.25
5. Step 5: Solve for x
   x = 51,301,406.25/2,757
6. Step 6: Final answer
   x = 18,607.69