Finding the Third Proportional to 2,462.25 and 3,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.25 : 3,814.50 = 3,814.50 : x
2. Step 2: Convert to fraction form
   2,462.25/3,814.50 = 3,814.50/x
3. Step 3: Cross multiply
   2,462.25x = 3,814.50 × 3,814.50
4. Step 4: Simplify right side
   2,462.25x = 14,550,410.25
5. Step 5: Solve for x
   x = 14,550,410.25/2,462.25
6. Step 6: Final answer
   x = 5,909.40