Finding the Third Proportional to 725.50 and 937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   725.50 : 937.50 = 937.50 : x
2. Step 2: Convert to fraction form
   725.50/937.50 = 937.50/x
3. Step 3: Cross multiply
   725.50x = 937.50 × 937.50
4. Step 4: Simplify right side
   725.50x = 878,906.25
5. Step 5: Solve for x
   x = 878,906.25/725.50
6. Step 6: Final answer
   x = 1,211.45