Finding the Third Proportional to 1,039.50 and 1,127.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,039.50 : 1,127.25 = 1,127.25 : x
2. Step 2: Convert to fraction form
   1,039.50/1,127.25 = 1,127.25/x
3. Step 3: Cross multiply
   1,039.50x = 1,127.25 × 1,127.25
4. Step 4: Simplify right side
   1,039.50x = 1,270,692.56
5. Step 5: Solve for x
   x = 1,270,692.56/1,039.50
6. Step 6: Final answer
   x = 1,222.41