Finding the Third Proportional to 4,680 and 10,282

Step by Step Solution

1. Step 1: Write the proportion equation
   4,680 : 10,282 = 10,282 : x
2. Step 2: Convert to fraction form
   4,680/10,282 = 10,282/x
3. Step 3: Cross multiply
   4,680x = 10,282 × 10,282
4. Step 4: Simplify right side
   4,680x = 105,719,524
5. Step 5: Solve for x
   x = 105,719,524/4,680
6. Step 6: Final answer
   x = 22,589.64