Finding the Third Proportional to 1,605.75 and 2,401.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.75 : 2,401.88 = 2,401.88 : x
2. Step 2: Convert to fraction form
   1,605.75/2,401.88 = 2,401.88/x
3. Step 3: Cross multiply
   1,605.75x = 2,401.88 × 2,401.88
4. Step 4: Simplify right side
   1,605.75x = 5,769,003.52
5. Step 5: Solve for x
   x = 5,769,003.52/1,605.75
6. Step 6: Final answer
   x = 3,592.72