Finding the Third Proportional to 4,680 and 12,204

Step by Step Solution

1. Step 1: Write the proportion equation
   4,680 : 12,204 = 12,204 : x
2. Step 2: Convert to fraction form
   4,680/12,204 = 12,204/x
3. Step 3: Cross multiply
   4,680x = 12,204 × 12,204
4. Step 4: Simplify right side
   4,680x = 148,937,616
5. Step 5: Solve for x
   x = 148,937,616/4,680
6. Step 6: Final answer
   x = 31,824.28