Finding the Third Proportional to 2,034 and 5,513

Step by Step Solution

1. Step 1: Write the proportion equation
   2,034 : 5,513 = 5,513 : x
2. Step 2: Convert to fraction form
   2,034/5,513 = 5,513/x
3. Step 3: Cross multiply
   2,034x = 5,513 × 5,513
4. Step 4: Simplify right side
   2,034x = 30,393,169
5. Step 5: Solve for x
   x = 30,393,169/2,034
6. Step 6: Final answer
   x = 14,942.56