Finding the Third Proportional to 4,666 and 10,264

Step by Step Solution

1. Step 1: Write the proportion equation
   4,666 : 10,264 = 10,264 : x
2. Step 2: Convert to fraction form
   4,666/10,264 = 10,264/x
3. Step 3: Cross multiply
   4,666x = 10,264 × 10,264
4. Step 4: Simplify right side
   4,666x = 105,349,696
5. Step 5: Solve for x
   x = 105,349,696/4,666
6. Step 6: Final answer
   x = 22,578.16