Finding the Third Proportional to 13,105 and 27,688

Step by Step Solution

1. Step 1: Write the proportion equation
   13,105 : 27,688 = 27,688 : x
2. Step 2: Convert to fraction form
   13,105/27,688 = 27,688/x
3. Step 3: Cross multiply
   13,105x = 27,688 × 27,688
4. Step 4: Simplify right side
   13,105x = 766,625,344
5. Step 5: Solve for x
   x = 766,625,344/13,105
6. Step 6: Final answer
   x = 58,498.69