Finding the Third Proportional to 2,835.25 and 5,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,835.25 : 5,814.50 = 5,814.50 : x
2. Step 2: Convert to fraction form
   2,835.25/5,814.50 = 5,814.50/x
3. Step 3: Cross multiply
   2,835.25x = 5,814.50 × 5,814.50
4. Step 4: Simplify right side
   2,835.25x = 33,808,410.25
5. Step 5: Solve for x
   x = 33,808,410.25/2,835.25
6. Step 6: Final answer
   x = 11,924.31