Finding the Third Proportional to 6,814.50 and 10,282

Step by Step Solution

1. Step 1: Write the proportion equation
   6,814.50 : 10,282 = 10,282 : x
2. Step 2: Convert to fraction form
   6,814.50/10,282 = 10,282/x
3. Step 3: Cross multiply
   6,814.50x = 10,282 × 10,282
4. Step 4: Simplify right side
   6,814.50x = 105,719,524
5. Step 5: Solve for x
   x = 105,719,524/6,814.50
6. Step 6: Final answer
   x = 15,513.91