Finding the Third Proportional to 662.77 and 1,380.27

Step by Step Solution

1. Step 1: Write the proportion equation
   662.77 : 1,380.27 = 1,380.27 : x
2. Step 2: Convert to fraction form
   662.77/1,380.27 = 1,380.27/x
3. Step 3: Cross multiply
   662.77x = 1,380.27 × 1,380.27
4. Step 4: Simplify right side
   662.77x = 1,905,143.98
5. Step 5: Solve for x
   x = 1,905,143.98/662.77
6. Step 6: Final answer
   x = 2,874.54