Finding the Third Proportional to 4,766 and 10,148

Step by Step Solution

1. Step 1: Write the proportion equation
   4,766 : 10,148 = 10,148 : x
2. Step 2: Convert to fraction form
   4,766/10,148 = 10,148/x
3. Step 3: Cross multiply
   4,766x = 10,148 × 10,148
4. Step 4: Simplify right side
   4,766x = 102,981,904
5. Step 5: Solve for x
   x = 102,981,904/4,766
6. Step 6: Final answer
   x = 21,607.62