Finding the Third Proportional to 11,488 and 17,258

Step by Step Solution

1. Step 1: Write the proportion equation
   11,488 : 17,258 = 17,258 : x
2. Step 2: Convert to fraction form
   11,488/17,258 = 17,258/x
3. Step 3: Cross multiply
   11,488x = 17,258 × 17,258
4. Step 4: Simplify right side
   11,488x = 297,838,564
5. Step 5: Solve for x
   x = 297,838,564/11,488
6. Step 6: Final answer
   x = 25,926.06