Finding the Third Proportional to 4,664 and 12,428

Step by Step Solution

1. Step 1: Write the proportion equation
   4,664 : 12,428 = 12,428 : x
2. Step 2: Convert to fraction form
   4,664/12,428 = 12,428/x
3. Step 3: Cross multiply
   4,664x = 12,428 × 12,428
4. Step 4: Simplify right side
   4,664x = 154,455,184
5. Step 5: Solve for x
   x = 154,455,184/4,664
6. Step 6: Final answer
   x = 33,116.46