Finding the Third Proportional to 4,782 and 10,287

Step by Step Solution

1. Step 1: Write the proportion equation
   4,782 : 10,287 = 10,287 : x
2. Step 2: Convert to fraction form
   4,782/10,287 = 10,287/x
3. Step 3: Cross multiply
   4,782x = 10,287 × 10,287
4. Step 4: Simplify right side
   4,782x = 105,822,369
5. Step 5: Solve for x
   x = 105,822,369/4,782
6. Step 6: Final answer
   x = 22,129.31