Finding the Third Proportional to 5,627.50 and 13,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,627.50 : 13,028.50 = 13,028.50 : x
2. Step 2: Convert to fraction form
   5,627.50/13,028.50 = 13,028.50/x
3. Step 3: Cross multiply
   5,627.50x = 13,028.50 × 13,028.50
4. Step 4: Simplify right side
   5,627.50x = 169,741,812.25
5. Step 5: Solve for x
   x = 169,741,812.25/5,627.50
6. Step 6: Final answer
   x = 30,162.92