Finding the Third Proportional to 727.10 and 1,142.86

Step by Step Solution

1. Step 1: Write the proportion equation
   727.10 : 1,142.86 = 1,142.86 : x
2. Step 2: Convert to fraction form
   727.10/1,142.86 = 1,142.86/x
3. Step 3: Cross multiply
   727.10x = 1,142.86 × 1,142.86
4. Step 4: Simplify right side
   727.10x = 1,306,127.55
5. Step 5: Solve for x
   x = 1,306,127.55/727.10
6. Step 6: Final answer
   x = 1,796.35