Finding the Third Proportional to 1,014.75 and 2,289.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.75 : 2,289.94 = 2,289.94 : x
2. Step 2: Convert to fraction form
   1,014.75/2,289.94 = 2,289.94/x
3. Step 3: Cross multiply
   1,014.75x = 2,289.94 × 2,289.94
4. Step 4: Simplify right side
   1,014.75x = 5,243,813.75
5. Step 5: Solve for x
   x = 5,243,813.75/1,014.75
6. Step 6: Final answer
   x = 5,167.59