Finding the Third Proportional to 13,766 and 28,258

Step by Step Solution

1. Step 1: Write the proportion equation
   13,766 : 28,258 = 28,258 : x
2. Step 2: Convert to fraction form
   13,766/28,258 = 28,258/x
3. Step 3: Cross multiply
   13,766x = 28,258 × 28,258
4. Step 4: Simplify right side
   13,766x = 798,514,564
5. Step 5: Solve for x
   x = 798,514,564/13,766
6. Step 6: Final answer
   x = 58,006.29