Finding the Third Proportional to 9,082 and 14,627

Step by Step Solution

1. Step 1: Write the proportion equation
   9,082 : 14,627 = 14,627 : x
2. Step 2: Convert to fraction form
   9,082/14,627 = 14,627/x
3. Step 3: Cross multiply
   9,082x = 14,627 × 14,627
4. Step 4: Simplify right side
   9,082x = 213,949,129
5. Step 5: Solve for x
   x = 213,949,129/9,082
6. Step 6: Final answer
   x = 23,557.49