Finding the Third Proportional to 6,833.25 and 14,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,833.25 : 14,584.50 = 14,584.50 : x
2. Step 2: Convert to fraction form
   6,833.25/14,584.50 = 14,584.50/x
3. Step 3: Cross multiply
   6,833.25x = 14,584.50 × 14,584.50
4. Step 4: Simplify right side
   6,833.25x = 212,707,640.25
5. Step 5: Solve for x
   x = 212,707,640.25/6,833.25
6. Step 6: Final answer
   x = 31,128.33