Finding the Third Proportional to 2,566 and 5,196

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566 : 5,196 = 5,196 : x
2. Step 2: Convert to fraction form
   2,566/5,196 = 5,196/x
3. Step 3: Cross multiply
   2,566x = 5,196 × 5,196
4. Step 4: Simplify right side
   2,566x = 26,998,416
5. Step 5: Solve for x
   x = 26,998,416/2,566
6. Step 6: Final answer
   x = 10,521.60