Finding the Third Proportional to 657 and 1,380.38

Step by Step Solution

1. Step 1: Write the proportion equation
   657 : 1,380.38 = 1,380.38 : x
2. Step 2: Convert to fraction form
   657/1,380.38 = 1,380.38/x
3. Step 3: Cross multiply
   657x = 1,380.38 × 1,380.38
4. Step 4: Simplify right side
   657x = 1,905,435.14
5. Step 5: Solve for x
   x = 1,905,435.14/657
6. Step 6: Final answer
   x = 2,900.21