Finding the Third Proportional to 26,005 and 55,109

Step by Step Solution

1. Step 1: Write the proportion equation
   26,005 : 55,109 = 55,109 : x
2. Step 2: Convert to fraction form
   26,005/55,109 = 55,109/x
3. Step 3: Cross multiply
   26,005x = 55,109 × 55,109
4. Step 4: Simplify right side
   26,005x = 3,037,001,881
5. Step 5: Solve for x
   x = 3,037,001,881/26,005
6. Step 6: Final answer
   x = 116,785.31