Finding the Third Proportional to 1,139.91 and 1,647.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,139.91 : 1,647.42 = 1,647.42 : x
2. Step 2: Convert to fraction form
   1,139.91/1,647.42 = 1,647.42/x
3. Step 3: Cross multiply
   1,139.91x = 1,647.42 × 1,647.42
4. Step 4: Simplify right side
   1,139.91x = 2,713,998.83
5. Step 5: Solve for x
   x = 2,713,998.83/1,139.91
6. Step 6: Final answer
   x = 2,380.90