Finding the Third Proportional to 3,401.50 and 4,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,401.50 : 4,814.50 = 4,814.50 : x
2. Step 2: Convert to fraction form
   3,401.50/4,814.50 = 4,814.50/x
3. Step 3: Cross multiply
   3,401.50x = 4,814.50 × 4,814.50
4. Step 4: Simplify right side
   3,401.50x = 23,179,410.25
5. Step 5: Solve for x
   x = 23,179,410.25/3,401.50
6. Step 6: Final answer
   x = 6,814.47