Finding the Third Proportional to 1,251.75 and 1,895.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,251.75 : 1,895.25 = 1,895.25 : x
2. Step 2: Convert to fraction form
   1,251.75/1,895.25 = 1,895.25/x
3. Step 3: Cross multiply
   1,251.75x = 1,895.25 × 1,895.25
4. Step 4: Simplify right side
   1,251.75x = 3,591,972.56
5. Step 5: Solve for x
   x = 3,591,972.56/1,251.75
6. Step 6: Final answer
   x = 2,869.56