Finding the Third Proportional to 2,624.25 and 5,733.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,624.25 : 5,733.75 = 5,733.75 : x
2. Step 2: Convert to fraction form
   2,624.25/5,733.75 = 5,733.75/x
3. Step 3: Cross multiply
   2,624.25x = 5,733.75 × 5,733.75
4. Step 4: Simplify right side
   2,624.25x = 32,875,889.06
5. Step 5: Solve for x
   x = 32,875,889.06/2,624.25
6. Step 6: Final answer
   x = 12,527.73