Finding the Third Proportional to 1,019.81 and 1,616.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.81 : 1,616.63 = 1,616.63 : x
2. Step 2: Convert to fraction form
   1,019.81/1,616.63 = 1,616.63/x
3. Step 3: Cross multiply
   1,019.81x = 1,616.63 × 1,616.63
4. Step 4: Simplify right side
   1,019.81x = 2,613,476.39
5. Step 5: Solve for x
   x = 2,613,476.39/1,019.81
6. Step 6: Final answer
   x = 2,562.70