Finding the Third Proportional to 1,585.41 and 2,327.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,585.41 : 2,327.06 = 2,327.06 : x
2. Step 2: Convert to fraction form
   1,585.41/2,327.06 = 2,327.06/x
3. Step 3: Cross multiply
   1,585.41x = 2,327.06 × 2,327.06
4. Step 4: Simplify right side
   1,585.41x = 5,415,219.88
5. Step 5: Solve for x
   x = 5,415,219.88/1,585.41
6. Step 6: Final answer
   x = 3,415.67