Finding the Third Proportional to 1,501.50 and 2,250

Step by Step Solution

1. Step 1: Write the proportion equation
   1,501.50 : 2,250 = 2,250 : x
2. Step 2: Convert to fraction form
   1,501.50/2,250 = 2,250/x
3. Step 3: Cross multiply
   1,501.50x = 2,250 × 2,250
4. Step 4: Simplify right side
   1,501.50x = 5,062,500
5. Step 5: Solve for x
   x = 5,062,500/1,501.50
6. Step 6: Final answer
   x = 3,371.63