Finding the Third Proportional to 1,019.46 and 1,301.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.46 : 1,301.38 = 1,301.38 : x
2. Step 2: Convert to fraction form
   1,019.46/1,301.38 = 1,301.38/x
3. Step 3: Cross multiply
   1,019.46x = 1,301.38 × 1,301.38
4. Step 4: Simplify right side
   1,019.46x = 1,693,587.06
5. Step 5: Solve for x
   x = 1,693,587.06/1,019.46
6. Step 6: Final answer
   x = 1,661.26