Finding the Third Proportional to 2,513 and 5,224

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513 : 5,224 = 5,224 : x
2. Step 2: Convert to fraction form
   2,513/5,224 = 5,224/x
3. Step 3: Cross multiply
   2,513x = 5,224 × 5,224
4. Step 4: Simplify right side
   2,513x = 27,290,176
5. Step 5: Solve for x
   x = 27,290,176/2,513
6. Step 6: Final answer
   x = 10,859.60