Finding the Third Proportional to 6,982 and 10,263

Step by Step Solution

1. Step 1: Write the proportion equation
   6,982 : 10,263 = 10,263 : x
2. Step 2: Convert to fraction form
   6,982/10,263 = 10,263/x
3. Step 3: Cross multiply
   6,982x = 10,263 × 10,263
4. Step 4: Simplify right side
   6,982x = 105,329,169
5. Step 5: Solve for x
   x = 105,329,169/6,982
6. Step 6: Final answer
   x = 15,085.82