Finding the Third Proportional to 1,470 and 1,960

Step by Step Solution

1. Step 1: Write the proportion equation
   1,470 : 1,960 = 1,960 : x
2. Step 2: Convert to fraction form
   1,470/1,960 = 1,960/x
3. Step 3: Cross multiply
   1,470x = 1,960 × 1,960
4. Step 4: Simplify right side
   1,470x = 3,841,600
5. Step 5: Solve for x
   x = 3,841,600/1,470
6. Step 6: Final answer
   x = 2,613.33