Finding the Third Proportional to 1,380.88 and 2,091.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.88 : 2,091.38 = 2,091.38 : x
2. Step 2: Convert to fraction form
   1,380.88/2,091.38 = 2,091.38/x
3. Step 3: Cross multiply
   1,380.88x = 2,091.38 × 2,091.38
4. Step 4: Simplify right side
   1,380.88x = 4,373,849.39
5. Step 5: Solve for x
   x = 4,373,849.39/1,380.88
6. Step 6: Final answer
   x = 3,167.45