Finding the Third Proportional to 2,436 and 3,676.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,436 : 3,676.13 = 3,676.13 : x
2. Step 2: Convert to fraction form
   2,436/3,676.13 = 3,676.13/x
3. Step 3: Cross multiply
   2,436x = 3,676.13 × 3,676.13
4. Step 4: Simplify right side
   2,436x = 13,513,895.02
5. Step 5: Solve for x
   x = 13,513,895.02/2,436
6. Step 6: Final answer
   x = 5,547.58