Finding the Third Proportional to 5,728.50 and 13,722.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,728.50 : 13,722.75 = 13,722.75 : x
2. Step 2: Convert to fraction form
   5,728.50/13,722.75 = 13,722.75/x
3. Step 3: Cross multiply
   5,728.50x = 13,722.75 × 13,722.75
4. Step 4: Simplify right side
   5,728.50x = 188,313,867.56
5. Step 5: Solve for x
   x = 188,313,867.56/5,728.50
6. Step 6: Final answer
   x = 32,873.15