Finding the Third Proportional to 1,585.41 and 2,371.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.41 : 2,371.78 = 2,371.78 : x
2. Step 2: Convert to fraction form
   1,585.41/2,371.78 = 2,371.78/x
3. Step 3: Cross multiply
   1,585.41x = 2,371.78 × 2,371.78
4. Step 4: Simplify right side
   1,585.41x = 5,625,346.30
5. Step 5: Solve for x
   x = 5,625,346.30/1,585.41
6. Step 6: Final answer
   x = 3,548.20