Finding the Third Proportional to 5,727.50 and 12,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,727.50 : 12,507.50 = 12,507.50 : x
2. Step 2: Convert to fraction form
   5,727.50/12,507.50 = 12,507.50/x
3. Step 3: Cross multiply
   5,727.50x = 12,507.50 × 12,507.50
4. Step 4: Simplify right side
   5,727.50x = 156,437,556.25
5. Step 5: Solve for x
   x = 156,437,556.25/5,727.50
6. Step 6: Final answer
   x = 27,313.41