Finding the Third Proportional to 4,766 and 10,510

Step by Step Solution

1. Step 1: Write the proportion equation
   4,766 : 10,510 = 10,510 : x
2. Step 2: Convert to fraction form
   4,766/10,510 = 10,510/x
3. Step 3: Cross multiply
   4,766x = 10,510 × 10,510
4. Step 4: Simplify right side
   4,766x = 110,460,100
5. Step 5: Solve for x
   x = 110,460,100/4,766
6. Step 6: Final answer
   x = 23,176.69