Finding the Third Proportional to 2,194.59 and 3,289.99

Step by Step Solution

1. Step 1: Write the proportion equation
   2,194.59 : 3,289.99 = 3,289.99 : x
2. Step 2: Convert to fraction form
   2,194.59/3,289.99 = 3,289.99/x
3. Step 3: Cross multiply
   2,194.59x = 3,289.99 × 3,289.99
4. Step 4: Simplify right side
   2,194.59x = 10,824,048.59
5. Step 5: Solve for x
   x = 10,824,048.59/2,194.59
6. Step 6: Final answer
   x = 4,932.14