Finding the Third Proportional to 2,594.93 and 3,805.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,594.93 : 3,805.89 = 3,805.89 : x
2. Step 2: Convert to fraction form
   2,594.93/3,805.89 = 3,805.89/x
3. Step 3: Cross multiply
   2,594.93x = 3,805.89 × 3,805.89
4. Step 4: Simplify right side
   2,594.93x = 14,484,818.32
5. Step 5: Solve for x
   x = 14,484,818.32/2,594.93
6. Step 6: Final answer
   x = 5,581.98