Finding the Third Proportional to 6,745.50 and 10,212.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,745.50 : 10,212.25 = 10,212.25 : x
2. Step 2: Convert to fraction form
   6,745.50/10,212.25 = 10,212.25/x
3. Step 3: Cross multiply
   6,745.50x = 10,212.25 × 10,212.25
4. Step 4: Simplify right side
   6,745.50x = 104,290,050.06
5. Step 5: Solve for x
   x = 104,290,050.06/6,745.50
6. Step 6: Final answer
   x = 15,460.68