Finding the Third Proportional to 1,010.92 and 1,517.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.92 : 1,517.56 = 1,517.56 : x
2. Step 2: Convert to fraction form
   1,010.92/1,517.56 = 1,517.56/x
3. Step 3: Cross multiply
   1,010.92x = 1,517.56 × 1,517.56
4. Step 4: Simplify right side
   1,010.92x = 2,302,998.91
5. Step 5: Solve for x
   x = 2,302,998.91/1,010.92
6. Step 6: Final answer
   x = 2,278.13