Finding the Third Proportional to 1,742.77 and 3,728.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.77 : 3,728.53 = 3,728.53 : x
2. Step 2: Convert to fraction form
   1,742.77/3,728.53 = 3,728.53/x
3. Step 3: Cross multiply
   1,742.77x = 3,728.53 × 3,728.53
4. Step 4: Simplify right side
   1,742.77x = 13,901,945.28
5. Step 5: Solve for x
   x = 13,901,945.28/1,742.77
6. Step 6: Final answer
   x = 7,976.94