Finding the Third Proportional to 1,209.94 and 2,245.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,209.94 : 2,245.22 = 2,245.22 : x
2. Step 2: Convert to fraction form
   1,209.94/2,245.22 = 2,245.22/x
3. Step 3: Cross multiply
   1,209.94x = 2,245.22 × 2,245.22
4. Step 4: Simplify right side
   1,209.94x = 5,041,007.24
5. Step 5: Solve for x
   x = 5,041,007.24/1,209.94
6. Step 6: Final answer
   x = 4,166.34