Finding the Third Proportional to 1,016.50 and 1,378.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.50 : 1,378.25 = 1,378.25 : x
2. Step 2: Convert to fraction form
   1,016.50/1,378.25 = 1,378.25/x
3. Step 3: Cross multiply
   1,016.50x = 1,378.25 × 1,378.25
4. Step 4: Simplify right side
   1,016.50x = 1,899,573.06
5. Step 5: Solve for x
   x = 1,899,573.06/1,016.50
6. Step 6: Final answer
   x = 1,868.74