Finding the Third Proportional to 2,425.57 and 3,657.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,425.57 : 3,657.34 = 3,657.34 : x
2. Step 2: Convert to fraction form
   2,425.57/3,657.34 = 3,657.34/x
3. Step 3: Cross multiply
   2,425.57x = 3,657.34 × 3,657.34
4. Step 4: Simplify right side
   2,425.57x = 13,376,134.73
5. Step 5: Solve for x
   x = 13,376,134.73/2,425.57
6. Step 6: Final answer
   x = 5,514.63