Finding the Third Proportional to 4,684 and 10,446

Step by Step Solution

1. Step 1: Write the proportion equation
   4,684 : 10,446 = 10,446 : x
2. Step 2: Convert to fraction form
   4,684/10,446 = 10,446/x
3. Step 3: Cross multiply
   4,684x = 10,446 × 10,446
4. Step 4: Simplify right side
   4,684x = 109,118,916
5. Step 5: Solve for x
   x = 109,118,916/4,684
6. Step 6: Final answer
   x = 23,296.10