Finding the Third Proportional to 11,554 and 13,258

Step by Step Solution

1. Step 1: Write the proportion equation
   11,554 : 13,258 = 13,258 : x
2. Step 2: Convert to fraction form
   11,554/13,258 = 13,258/x
3. Step 3: Cross multiply
   11,554x = 13,258 × 13,258
4. Step 4: Simplify right side
   11,554x = 175,774,564
5. Step 5: Solve for x
   x = 175,774,564/11,554
6. Step 6: Final answer
   x = 15,213.31