Finding the Third Proportional to 12,780 and 27,109

Step by Step Solution

1. Step 1: Write the proportion equation
   12,780 : 27,109 = 27,109 : x
2. Step 2: Convert to fraction form
   12,780/27,109 = 27,109/x
3. Step 3: Cross multiply
   12,780x = 27,109 × 27,109
4. Step 4: Simplify right side
   12,780x = 734,897,881
5. Step 5: Solve for x
   x = 734,897,881/12,780
6. Step 6: Final answer
   x = 57,503.75