Finding the Third Proportional to 1,822.50 and 4,050

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.50 : 4,050 = 4,050 : x
2. Step 2: Convert to fraction form
   1,822.50/4,050 = 4,050/x
3. Step 3: Cross multiply
   1,822.50x = 4,050 × 4,050
4. Step 4: Simplify right side
   1,822.50x = 16,402,500
5. Step 5: Solve for x
   x = 16,402,500/1,822.50
6. Step 6: Final answer
   x = 9,000