Finding the Third Proportional to 11,200 and 18,258

Step by Step Solution

1. Step 1: Write the proportion equation
   11,200 : 18,258 = 18,258 : x
2. Step 2: Convert to fraction form
   11,200/18,258 = 18,258/x
3. Step 3: Cross multiply
   11,200x = 18,258 × 18,258
4. Step 4: Simplify right side
   11,200x = 333,354,564
5. Step 5: Solve for x
   x = 333,354,564/11,200
6. Step 6: Final answer
   x = 29,763.80