Finding the Third Proportional to 1,018.69 and 1,527.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.69 : 1,527.47 = 1,527.47 : x
2. Step 2: Convert to fraction form
   1,018.69/1,527.47 = 1,527.47/x
3. Step 3: Cross multiply
   1,018.69x = 1,527.47 × 1,527.47
4. Step 4: Simplify right side
   1,018.69x = 2,333,160.78
5. Step 5: Solve for x
   x = 2,333,160.78/1,018.69
6. Step 6: Final answer
   x = 2,290.36