Finding the Third Proportional to 2,513.63 and 5,414.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.63 : 5,414.25 = 5,414.25 : x
2. Step 2: Convert to fraction form
   2,513.63/5,414.25 = 5,414.25/x
3. Step 3: Cross multiply
   2,513.63x = 5,414.25 × 5,414.25
4. Step 4: Simplify right side
   2,513.63x = 29,314,103.06
5. Step 5: Solve for x
   x = 29,314,103.06/2,513.63
6. Step 6: Final answer
   x = 11,662.08