Finding the Third Proportional to 727.88 and 1,152.56

Step by Step Solution

1. Step 1: Write the proportion equation
   727.88 : 1,152.56 = 1,152.56 : x
2. Step 2: Convert to fraction form
   727.88/1,152.56 = 1,152.56/x
3. Step 3: Cross multiply
   727.88x = 1,152.56 × 1,152.56
4. Step 4: Simplify right side
   727.88x = 1,328,400.32
5. Step 5: Solve for x
   x = 1,328,400.32/727.88
6. Step 6: Final answer
   x = 1,825.04