Finding the Third Proportional to 1,010.16 and 1,516.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.16 : 1,516.46 = 1,516.46 : x
2. Step 2: Convert to fraction form
   1,010.16/1,516.46 = 1,516.46/x
3. Step 3: Cross multiply
   1,010.16x = 1,516.46 × 1,516.46
4. Step 4: Simplify right side
   1,010.16x = 2,299,665.62
5. Step 5: Solve for x
   x = 2,299,665.62/1,010.16
6. Step 6: Final answer
   x = 2,276.53