Finding the Third Proportional to 1,255.50 and 1,910.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.50 : 1,910.25 = 1,910.25 : x
2. Step 2: Convert to fraction form
   1,255.50/1,910.25 = 1,910.25/x
3. Step 3: Cross multiply
   1,255.50x = 1,910.25 × 1,910.25
4. Step 4: Simplify right side
   1,255.50x = 3,649,055.06
5. Step 5: Solve for x
   x = 3,649,055.06/1,255.50
6. Step 6: Final answer
   x = 2,906.46