Finding the Third Proportional to 1,014.75 and 2,261.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.75 : 2,261.25 = 2,261.25 : x
2. Step 2: Convert to fraction form
   1,014.75/2,261.25 = 2,261.25/x
3. Step 3: Cross multiply
   1,014.75x = 2,261.25 × 2,261.25
4. Step 4: Simplify right side
   1,014.75x = 5,113,251.56
5. Step 5: Solve for x
   x = 5,113,251.56/1,014.75
6. Step 6: Final answer
   x = 5,038.93