Finding the Third Proportional to 2,300.25 and 3,657.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,300.25 : 3,657.75 = 3,657.75 : x
2. Step 2: Convert to fraction form
   2,300.25/3,657.75 = 3,657.75/x
3. Step 3: Cross multiply
   2,300.25x = 3,657.75 × 3,657.75
4. Step 4: Simplify right side
   2,300.25x = 13,379,135.06
5. Step 5: Solve for x
   x = 13,379,135.06/2,300.25
6. Step 6: Final answer
   x = 5,816.38