Finding the Third Proportional to 2,814.75 and 4,381.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,814.75 : 4,381.59 = 4,381.59 : x
2. Step 2: Convert to fraction form
   2,814.75/4,381.59 = 4,381.59/x
3. Step 3: Cross multiply
   2,814.75x = 4,381.59 × 4,381.59
4. Step 4: Simplify right side
   2,814.75x = 19,198,363.79
5. Step 5: Solve for x
   x = 19,198,363.79/2,814.75
6. Step 6: Final answer
   x = 6,820.63