Finding the Third Proportional to 1,204.31 and 2,504.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.31 : 2,504.81 = 2,504.81 : x
2. Step 2: Convert to fraction form
   1,204.31/2,504.81 = 2,504.81/x
3. Step 3: Cross multiply
   1,204.31x = 2,504.81 × 2,504.81
4. Step 4: Simplify right side
   1,204.31x = 6,274,085.66
5. Step 5: Solve for x
   x = 6,274,085.66/1,204.31
6. Step 6: Final answer
   x = 5,209.68