Finding the Third Proportional to 2,514.84 and 5,282.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.84 : 5,282.76 = 5,282.76 : x
2. Step 2: Convert to fraction form
   2,514.84/5,282.76 = 5,282.76/x
3. Step 3: Cross multiply
   2,514.84x = 5,282.76 × 5,282.76
4. Step 4: Simplify right side
   2,514.84x = 27,907,535.26
5. Step 5: Solve for x
   x = 27,907,535.26/2,514.84
6. Step 6: Final answer
   x = 11,097.16