Finding the Third Proportional to 1,236.83 and 2,506.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,236.83 : 2,506.89 = 2,506.89 : x
2. Step 2: Convert to fraction form
   1,236.83/2,506.89 = 2,506.89/x
3. Step 3: Cross multiply
   1,236.83x = 2,506.89 × 2,506.89
4. Step 4: Simplify right side
   1,236.83x = 6,284,481.02
5. Step 5: Solve for x
   x = 6,284,481.02/1,236.83
6. Step 6: Final answer
   x = 5,081.11