Finding the Third Proportional to 2,675.50 and 5,762.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,675.50 : 5,762.75 = 5,762.75 : x
2. Step 2: Convert to fraction form
   2,675.50/5,762.75 = 5,762.75/x
3. Step 3: Cross multiply
   2,675.50x = 5,762.75 × 5,762.75
4. Step 4: Simplify right side
   2,675.50x = 33,209,287.56
5. Step 5: Solve for x
   x = 33,209,287.56/2,675.50
6. Step 6: Final answer
   x = 12,412.37