Finding the Third Proportional to 725.50 and 1,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   725.50 : 1,105.25 = 1,105.25 : x
2. Step 2: Convert to fraction form
   725.50/1,105.25 = 1,105.25/x
3. Step 3: Cross multiply
   725.50x = 1,105.25 × 1,105.25
4. Step 4: Simplify right side
   725.50x = 1,221,577.56
5. Step 5: Solve for x
   x = 1,221,577.56/725.50
6. Step 6: Final answer
   x = 1,683.77