Finding the Third Proportional to 5,625 and 13,050

Step by Step Solution

1. Step 1: Write the proportion equation
   5,625 : 13,050 = 13,050 : x
2. Step 2: Convert to fraction form
   5,625/13,050 = 13,050/x
3. Step 3: Cross multiply
   5,625x = 13,050 × 13,050
4. Step 4: Simplify right side
   5,625x = 170,302,500
5. Step 5: Solve for x
   x = 170,302,500/5,625
6. Step 6: Final answer
   x = 30,276