Finding the Third Proportional to 2,512.69 and 5,113.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,512.69 : 5,113.69 = 5,113.69 : x
2. Step 2: Convert to fraction form
   2,512.69/5,113.69 = 5,113.69/x
3. Step 3: Cross multiply
   2,512.69x = 5,113.69 × 5,113.69
4. Step 4: Simplify right side
   2,512.69x = 26,149,799.85
5. Step 5: Solve for x
   x = 26,149,799.85/2,512.69
6. Step 6: Final answer
   x = 10,407.10