Finding the Third Proportional to 1,007.25 and 1,511.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.25 : 1,511.63 = 1,511.63 : x
2. Step 2: Convert to fraction form
   1,007.25/1,511.63 = 1,511.63/x
3. Step 3: Cross multiply
   1,007.25x = 1,511.63 × 1,511.63
4. Step 4: Simplify right side
   1,007.25x = 2,285,010.14
5. Step 5: Solve for x
   x = 2,285,010.14/1,007.25
6. Step 6: Final answer
   x = 2,268.56