Finding the Third Proportional to 2,567.25 and 3,759.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.25 : 3,759.47 = 3,759.47 : x
2. Step 2: Convert to fraction form
   2,567.25/3,759.47 = 3,759.47/x
3. Step 3: Cross multiply
   2,567.25x = 3,759.47 × 3,759.47
4. Step 4: Simplify right side
   2,567.25x = 14,133,605.28
5. Step 5: Solve for x
   x = 14,133,605.28/2,567.25
6. Step 6: Final answer
   x = 5,505.35