Finding the Third Proportional to 1,010.18 and 1,509.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.18 : 1,509.05 = 1,509.05 : x
2. Step 2: Convert to fraction form
   1,010.18/1,509.05 = 1,509.05/x
3. Step 3: Cross multiply
   1,010.18x = 1,509.05 × 1,509.05
4. Step 4: Simplify right side
   1,010.18x = 2,277,222.47
5. Step 5: Solve for x
   x = 2,277,222.47/1,010.18
6. Step 6: Final answer
   x = 2,254.27