Finding the Third Proportional to 1,010.81 and 1,514.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.81 : 1,514.53 = 1,514.53 : x
2. Step 2: Convert to fraction form
   1,010.81/1,514.53 = 1,514.53/x
3. Step 3: Cross multiply
   1,010.81x = 1,514.53 × 1,514.53
4. Step 4: Simplify right side
   1,010.81x = 2,293,804.91
5. Step 5: Solve for x
   x = 2,293,804.91/1,010.81
6. Step 6: Final answer
   x = 2,269.27