Finding the Third Proportional to 3,401.25 and 4,814.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,401.25 : 4,814.63 = 4,814.63 : x
2. Step 2: Convert to fraction form
   3,401.25/4,814.63 = 4,814.63/x
3. Step 3: Cross multiply
   3,401.25x = 4,814.63 × 4,814.63
4. Step 4: Simplify right side
   3,401.25x = 23,180,613.89
5. Step 5: Solve for x
   x = 23,180,613.89/3,401.25
6. Step 6: Final answer
   x = 6,815.32