Finding the Third Proportional to 1,557.75 and 2,401.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,557.75 : 2,401.59 = 2,401.59 : x
2. Step 2: Convert to fraction form
   1,557.75/2,401.59 = 2,401.59/x
3. Step 3: Cross multiply
   1,557.75x = 2,401.59 × 2,401.59
4. Step 4: Simplify right side
   1,557.75x = 5,767,652.54
5. Step 5: Solve for x
   x = 5,767,652.54/1,557.75
6. Step 6: Final answer
   x = 3,702.55