Finding the Third Proportional to 755.42 and 1,557.83

Step by Step Solution

1. Step 1: Write the proportion equation
   755.42 : 1,557.83 = 1,557.83 : x
2. Step 2: Convert to fraction form
   755.42/1,557.83 = 1,557.83/x
3. Step 3: Cross multiply
   755.42x = 1,557.83 × 1,557.83
4. Step 4: Simplify right side
   755.42x = 2,426,822.38
5. Step 5: Solve for x
   x = 2,426,822.38/755.42
6. Step 6: Final answer
   x = 3,212.55