Finding the Third Proportional to 2,405.75 and 3,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,405.75 : 3,657.50 = 3,657.50 : x
2. Step 2: Convert to fraction form
   2,405.75/3,657.50 = 3,657.50/x
3. Step 3: Cross multiply
   2,405.75x = 3,657.50 × 3,657.50
4. Step 4: Simplify right side
   2,405.75x = 13,377,306.25
5. Step 5: Solve for x
   x = 13,377,306.25/2,405.75
6. Step 6: Final answer
   x = 5,560.56