Finding the Third Proportional to 1,605.38 and 2,441.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,605.38 : 2,441.25 = 2,441.25 : x
2. Step 2: Convert to fraction form
   1,605.38/2,441.25 = 2,441.25/x
3. Step 3: Cross multiply
   1,605.38x = 2,441.25 × 2,441.25
4. Step 4: Simplify right side
   1,605.38x = 5,959,701.56
5. Step 5: Solve for x
   x = 5,959,701.56/1,605.38
6. Step 6: Final answer
   x = 3,712.34