Finding the Third Proportional to 2,585.25 and 4,134.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.25 : 4,134.38 = 4,134.38 : x
2. Step 2: Convert to fraction form
   2,585.25/4,134.38 = 4,134.38/x
3. Step 3: Cross multiply
   2,585.25x = 4,134.38 × 4,134.38
4. Step 4: Simplify right side
   2,585.25x = 17,093,056.64
5. Step 5: Solve for x
   x = 17,093,056.64/2,585.25
6. Step 6: Final answer
   x = 6,611.76