Finding the Third Proportional to 2,189.81 and 3,934.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189.81 : 3,934.13 = 3,934.13 : x
2. Step 2: Convert to fraction form
   2,189.81/3,934.13 = 3,934.13/x
3. Step 3: Cross multiply
   2,189.81x = 3,934.13 × 3,934.13
4. Step 4: Simplify right side
   2,189.81x = 15,477,339.52
5. Step 5: Solve for x
   x = 15,477,339.52/2,189.81
6. Step 6: Final answer
   x = 7,067.88