Finding the Third Proportional to 1,500 and 1,950

Step by Step Solution

1. Step 1: Write the proportion equation
   1,500 : 1,950 = 1,950 : x
2. Step 2: Convert to fraction form
   1,500/1,950 = 1,950/x
3. Step 3: Cross multiply
   1,500x = 1,950 × 1,950
4. Step 4: Simplify right side
   1,500x = 3,802,500
5. Step 5: Solve for x
   x = 3,802,500/1,500
6. Step 6: Final answer
   x = 2,535