Finding the Third Proportional to 5,728.50 and 10,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,728.50 : 10,507.50 = 10,507.50 : x
2. Step 2: Convert to fraction form
   5,728.50/10,507.50 = 10,507.50/x
3. Step 3: Cross multiply
   5,728.50x = 10,507.50 × 10,507.50
4. Step 4: Simplify right side
   5,728.50x = 110,407,556.25
5. Step 5: Solve for x
   x = 110,407,556.25/5,728.50
6. Step 6: Final answer
   x = 19,273.38