Finding the Third Proportional to 2,570.25 and 3,755.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.25 : 3,755.25 = 3,755.25 : x
2. Step 2: Convert to fraction form
   2,570.25/3,755.25 = 3,755.25/x
3. Step 3: Cross multiply
   2,570.25x = 3,755.25 × 3,755.25
4. Step 4: Simplify right side
   2,570.25x = 14,101,902.56
5. Step 5: Solve for x
   x = 14,101,902.56/2,570.25
6. Step 6: Final answer
   x = 5,486.59