Finding the Third Proportional to 2,314.88 and 3,584.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.88 : 3,584.81 = 3,584.81 : x
2. Step 2: Convert to fraction form
   2,314.88/3,584.81 = 3,584.81/x
3. Step 3: Cross multiply
   2,314.88x = 3,584.81 × 3,584.81
4. Step 4: Simplify right side
   2,314.88x = 12,850,880.66
5. Step 5: Solve for x
   x = 12,850,880.66/2,314.88
6. Step 6: Final answer
   x = 5,551.44