Finding the Third Proportional to 2,624.25 and 3,764.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,624.25 : 3,764.25 = 3,764.25 : x
2. Step 2: Convert to fraction form
   2,624.25/3,764.25 = 3,764.25/x
3. Step 3: Cross multiply
   2,624.25x = 3,764.25 × 3,764.25
4. Step 4: Simplify right side
   2,624.25x = 14,169,578.06
5. Step 5: Solve for x
   x = 14,169,578.06/2,624.25
6. Step 6: Final answer
   x = 5,399.48