Finding the Third Proportional to 11,082 and 16,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,082 : 16,258.50 = 16,258.50 : x
2. Step 2: Convert to fraction form
   11,082/16,258.50 = 16,258.50/x
3. Step 3: Cross multiply
   11,082x = 16,258.50 × 16,258.50
4. Step 4: Simplify right side
   11,082x = 264,338,822.25
5. Step 5: Solve for x
   x = 264,338,822.25/11,082
6. Step 6: Final answer
   x = 23,852.99